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Finding the Fourth Proportional to 7,930.56, 11,870.40 and 5,754.24

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Solution

The fourth proportional to 7,930.56, 11,870.40 and 5,754.24 is: 8,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.56 : 11,870.40 = 5,754.24 : x
  2. Step 2: Convert to fraction form
    7,930.56/11,870.40 = 5,754.24/x
  3. Step 3: Cross multiply
    7,930.56x = 11,870.40 × 5,754.24
  4. Step 4: Simplify right side
    7,930.56x = 68,305,130.50
  5. Step 5: Solve for x
    x = 68,305,130.50/7,930.56
  6. Step 6: Final answer
    x = 8,612.90

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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.