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Finding the Fourth Proportional to 8,502.89, 11,735.84 and 5,358.47

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Solution

The fourth proportional to 8,502.89, 11,735.84 and 5,358.47 is: 7,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.89 : 11,735.84 = 5,358.47 : x
  2. Step 2: Convert to fraction form
    8,502.89/11,735.84 = 5,358.47/x
  3. Step 3: Cross multiply
    8,502.89x = 11,735.84 × 5,358.47
  4. Step 4: Simplify right side
    8,502.89x = 62,886,119.77
  5. Step 5: Solve for x
    x = 62,886,119.77/8,502.89
  6. Step 6: Final answer
    x = 7,395.85

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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.