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Finding the Fourth Proportional to 8,641.90, 12,966.51 and 5,138.62

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Solution

The fourth proportional to 8,641.90, 12,966.51 and 5,138.62 is: 7,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.90 : 12,966.51 = 5,138.62 : x
  2. Step 2: Convert to fraction form
    8,641.90/12,966.51 = 5,138.62/x
  3. Step 3: Cross multiply
    8,641.90x = 12,966.51 × 5,138.62
  4. Step 4: Simplify right side
    8,641.90x = 66,629,967.62
  5. Step 5: Solve for x
    x = 66,629,967.62/8,641.90
  6. Step 6: Final answer
    x = 7,710.11

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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.