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Finding the Fourth Proportional to 8,553.60, 12,830.24 and 3,870.28

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Solution

The fourth proportional to 8,553.60, 12,830.24 and 3,870.28 is: 5,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.60 : 12,830.24 = 3,870.28 : x
  2. Step 2: Convert to fraction form
    8,553.60/12,830.24 = 3,870.28/x
  3. Step 3: Cross multiply
    8,553.60x = 12,830.24 × 3,870.28
  4. Step 4: Simplify right side
    8,553.60x = 49,656,621.27
  5. Step 5: Solve for x
    x = 49,656,621.27/8,553.60
  6. Step 6: Final answer
    x = 5,805.35

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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.