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Finding the Fourth Proportional to 10,966.32, 15,134.76 and 7,608.24

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Solution

The fourth proportional to 10,966.32, 15,134.76 and 7,608.24 is: 10,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.32 : 15,134.76 = 7,608.24 : x
  2. Step 2: Convert to fraction form
    10,966.32/15,134.76 = 7,608.24/x
  3. Step 3: Cross multiply
    10,966.32x = 15,134.76 × 7,608.24
  4. Step 4: Simplify right side
    10,966.32x = 115,148,886.42
  5. Step 5: Solve for x
    x = 115,148,886.42/10,966.32
  6. Step 6: Final answer
    x = 10,500.23

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