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Finding the Fourth Proportional to 8,356.47, 12,532.63 and 3,677.65

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Solution

The fourth proportional to 8,356.47, 12,532.63 and 3,677.65 is: 5,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.47 : 12,532.63 = 3,677.65 : x
  2. Step 2: Convert to fraction form
    8,356.47/12,532.63 = 3,677.65/x
  3. Step 3: Cross multiply
    8,356.47x = 12,532.63 × 3,677.65
  4. Step 4: Simplify right side
    8,356.47x = 46,090,545.67
  5. Step 5: Solve for x
    x = 46,090,545.67/8,356.47
  6. Step 6: Final answer
    x = 5,515.56

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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.