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Finding the Fourth Proportional to 10,535.96, 14,541.92 and 6,558.68

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Solution

The fourth proportional to 10,535.96, 14,541.92 and 6,558.68 is: 9,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.96 : 14,541.92 = 6,558.68 : x
  2. Step 2: Convert to fraction form
    10,535.96/14,541.92 = 6,558.68/x
  3. Step 3: Cross multiply
    10,535.96x = 14,541.92 × 6,558.68
  4. Step 4: Simplify right side
    10,535.96x = 95,375,799.87
  5. Step 5: Solve for x
    x = 95,375,799.87/10,535.96
  6. Step 6: Final answer
    x = 9,052.41

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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.