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Finding the Fourth Proportional to 8,535.52, 12,802.20 and 5,242.80

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Solution

The fourth proportional to 8,535.52, 12,802.20 and 5,242.80 is: 7,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.52 : 12,802.20 = 5,242.80 : x
  2. Step 2: Convert to fraction form
    8,535.52/12,802.20 = 5,242.80/x
  3. Step 3: Cross multiply
    8,535.52x = 12,802.20 × 5,242.80
  4. Step 4: Simplify right side
    8,535.52x = 67,119,374.16
  5. Step 5: Solve for x
    x = 67,119,374.16/8,535.52
  6. Step 6: Final answer
    x = 7,863.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.