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Finding the Fourth Proportional to 11,560.44, 15,955.80 and 7,311.12

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Solution

The fourth proportional to 11,560.44, 15,955.80 and 7,311.12 is: 10,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.44 : 15,955.80 = 7,311.12 : x
  2. Step 2: Convert to fraction form
    11,560.44/15,955.80 = 7,311.12/x
  3. Step 3: Cross multiply
    11,560.44x = 15,955.80 × 7,311.12
  4. Step 4: Simplify right side
    11,560.44x = 116,654,768.50
  5. Step 5: Solve for x
    x = 116,654,768.50/11,560.44
  6. Step 6: Final answer
    x = 10,090.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.