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Finding the Fourth Proportional to 10,532.59, 14,535.02 and 5,816.87

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Solution

The fourth proportional to 10,532.59, 14,535.02 and 5,816.87 is: 8,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.59 : 14,535.02 = 5,816.87 : x
  2. Step 2: Convert to fraction form
    10,532.59/14,535.02 = 5,816.87/x
  3. Step 3: Cross multiply
    10,532.59x = 14,535.02 × 5,816.87
  4. Step 4: Simplify right side
    10,532.59x = 84,548,321.79
  5. Step 5: Solve for x
    x = 84,548,321.79/10,532.59
  6. Step 6: Final answer
    x = 8,027.31

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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.