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Finding the Fourth Proportional to 7,499.17, 10,347.97 and 4,141.78

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Solution

The fourth proportional to 7,499.17, 10,347.97 and 4,141.78 is: 5,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.17 : 10,347.97 = 4,141.78 : x
  2. Step 2: Convert to fraction form
    7,499.17/10,347.97 = 4,141.78/x
  3. Step 3: Cross multiply
    7,499.17x = 10,347.97 × 4,141.78
  4. Step 4: Simplify right side
    7,499.17x = 42,859,044.94
  5. Step 5: Solve for x
    x = 42,859,044.94/7,499.17
  6. Step 6: Final answer
    x = 5,715.17

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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.