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Finding the Fourth Proportional to 10,440.32, 14,414.24 and 7,304

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Solution

The fourth proportional to 10,440.32, 14,414.24 and 7,304 is: 10,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.32 : 14,414.24 = 7,304 : x
  2. Step 2: Convert to fraction form
    10,440.32/14,414.24 = 7,304/x
  3. Step 3: Cross multiply
    10,440.32x = 14,414.24 × 7,304
  4. Step 4: Simplify right side
    10,440.32x = 105,281,608.96
  5. Step 5: Solve for x
    x = 105,281,608.96/10,440.32
  6. Step 6: Final answer
    x = 10,084.14

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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.