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Finding the Fourth Proportional to 10,532.66, 14,535.84 and 6,057.82

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Solution

The fourth proportional to 10,532.66, 14,535.84 and 6,057.82 is: 8,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.66 : 14,535.84 = 6,057.82 : x
  2. Step 2: Convert to fraction form
    10,532.66/14,535.84 = 6,057.82/x
  3. Step 3: Cross multiply
    10,532.66x = 14,535.84 × 6,057.82
  4. Step 4: Simplify right side
    10,532.66x = 88,055,502.27
  5. Step 5: Solve for x
    x = 88,055,502.27/10,532.66
  6. Step 6: Final answer
    x = 8,360.23

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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.