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Finding the Fourth Proportional to 8,154.57, 11,264.95 and 6,377.63

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Solution

The fourth proportional to 8,154.57, 11,264.95 and 6,377.63 is: 8,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.57 : 11,264.95 = 6,377.63 : x
  2. Step 2: Convert to fraction form
    8,154.57/11,264.95 = 6,377.63/x
  3. Step 3: Cross multiply
    8,154.57x = 11,264.95 × 6,377.63
  4. Step 4: Simplify right side
    8,154.57x = 71,843,695.29
  5. Step 5: Solve for x
    x = 71,843,695.29/8,154.57
  6. Step 6: Final answer
    x = 8,810.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.