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Finding the Fourth Proportional to 8,695.52, 11,981.04 and 5,896.16

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Solution

The fourth proportional to 8,695.52, 11,981.04 and 5,896.16 is: 8,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.52 : 11,981.04 = 5,896.16 : x
  2. Step 2: Convert to fraction form
    8,695.52/11,981.04 = 5,896.16/x
  3. Step 3: Cross multiply
    8,695.52x = 11,981.04 × 5,896.16
  4. Step 4: Simplify right side
    8,695.52x = 70,642,128.81
  5. Step 5: Solve for x
    x = 70,642,128.81/8,695.52
  6. Step 6: Final answer
    x = 8,123.97

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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.