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Finding the Fourth Proportional to 8,584.52, 12,810.86 and 8,535.24

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Solution

The fourth proportional to 8,584.52, 12,810.86 and 8,535.24 is: 12,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.52 : 12,810.86 = 8,535.24 : x
  2. Step 2: Convert to fraction form
    8,584.52/12,810.86 = 8,535.24/x
  3. Step 3: Cross multiply
    8,584.52x = 12,810.86 × 8,535.24
  4. Step 4: Simplify right side
    8,584.52x = 109,343,754.04
  5. Step 5: Solve for x
    x = 109,343,754.04/8,584.52
  6. Step 6: Final answer
    x = 12,737.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.