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Finding the Fourth Proportional to 10,433.17, 14,397.78 and 5,717.46

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Solution

The fourth proportional to 10,433.17, 14,397.78 and 5,717.46 is: 7,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.17 : 14,397.78 = 5,717.46 : x
  2. Step 2: Convert to fraction form
    10,433.17/14,397.78 = 5,717.46/x
  3. Step 3: Cross multiply
    10,433.17x = 14,397.78 × 5,717.46
  4. Step 4: Simplify right side
    10,433.17x = 82,318,731.24
  5. Step 5: Solve for x
    x = 82,318,731.24/10,433.17
  6. Step 6: Final answer
    x = 7,890.10

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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.