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Finding the Fourth Proportional to 8,406.52, 12,605.46 and 3,787

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Solution

The fourth proportional to 8,406.52, 12,605.46 and 3,787 is: 5,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.52 : 12,605.46 = 3,787 : x
  2. Step 2: Convert to fraction form
    8,406.52/12,605.46 = 3,787/x
  3. Step 3: Cross multiply
    8,406.52x = 12,605.46 × 3,787
  4. Step 4: Simplify right side
    8,406.52x = 47,736,877.02
  5. Step 5: Solve for x
    x = 47,736,877.02/8,406.52
  6. Step 6: Final answer
    x = 5,678.55

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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.