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Finding the Fourth Proportional to 7,242.64, 10,845.56 and 6,069.56

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Solution

The fourth proportional to 7,242.64, 10,845.56 and 6,069.56 is: 9,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.64 : 10,845.56 = 6,069.56 : x
  2. Step 2: Convert to fraction form
    7,242.64/10,845.56 = 6,069.56/x
  3. Step 3: Cross multiply
    7,242.64x = 10,845.56 × 6,069.56
  4. Step 4: Simplify right side
    7,242.64x = 65,827,777.15
  5. Step 5: Solve for x
    x = 65,827,777.15/7,242.64
  6. Step 6: Final answer
    x = 9,088.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.