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Finding the Fourth Proportional to 10,125.16, 13,972.04 and 6,348.17

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Solution

The fourth proportional to 10,125.16, 13,972.04 and 6,348.17 is: 8,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.16 : 13,972.04 = 6,348.17 : x
  2. Step 2: Convert to fraction form
    10,125.16/13,972.04 = 6,348.17/x
  3. Step 3: Cross multiply
    10,125.16x = 13,972.04 × 6,348.17
  4. Step 4: Simplify right side
    10,125.16x = 88,696,853.43
  5. Step 5: Solve for x
    x = 88,696,853.43/10,125.16
  6. Step 6: Final answer
    x = 8,760.05

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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.