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Finding the Fourth Proportional to 8,488.14, 12,709.13 and 4,972.95

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Solution

The fourth proportional to 8,488.14, 12,709.13 and 4,972.95 is: 7,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.14 : 12,709.13 = 4,972.95 : x
  2. Step 2: Convert to fraction form
    8,488.14/12,709.13 = 4,972.95/x
  3. Step 3: Cross multiply
    8,488.14x = 12,709.13 × 4,972.95
  4. Step 4: Simplify right side
    8,488.14x = 63,201,843.17
  5. Step 5: Solve for x
    x = 63,201,843.17/8,488.14
  6. Step 6: Final answer
    x = 7,445.90

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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.