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Finding the Fourth Proportional to 7,151.32, 9,875.96 and 5,896.63

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Solution

The fourth proportional to 7,151.32, 9,875.96 and 5,896.63 is: 8,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.32 : 9,875.96 = 5,896.63 : x
  2. Step 2: Convert to fraction form
    7,151.32/9,875.96 = 5,896.63/x
  3. Step 3: Cross multiply
    7,151.32x = 9,875.96 × 5,896.63
  4. Step 4: Simplify right side
    7,151.32x = 58,234,882.01
  5. Step 5: Solve for x
    x = 58,234,882.01/7,151.32
  6. Step 6: Final answer
    x = 8,143.24

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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.