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Finding the Fourth Proportional to 7,151.82, 9,876.65 and 5,897.13

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Solution

The fourth proportional to 7,151.82, 9,876.65 and 5,897.13 is: 8,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.82 : 9,876.65 = 5,897.13 : x
  2. Step 2: Convert to fraction form
    7,151.82/9,876.65 = 5,897.13/x
  3. Step 3: Cross multiply
    7,151.82x = 9,876.65 × 5,897.13
  4. Step 4: Simplify right side
    7,151.82x = 58,243,859.53
  5. Step 5: Solve for x
    x = 58,243,859.53/7,151.82
  6. Step 6: Final answer
    x = 8,143.92

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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.