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Finding the Fourth Proportional to 10,418.57, 14,377.63 and 5,702.86

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Solution

The fourth proportional to 10,418.57, 14,377.63 and 5,702.86 is: 7,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.57 : 14,377.63 = 5,702.86 : x
  2. Step 2: Convert to fraction form
    10,418.57/14,377.63 = 5,702.86/x
  3. Step 3: Cross multiply
    10,418.57x = 14,377.63 × 5,702.86
  4. Step 4: Simplify right side
    10,418.57x = 81,993,539.13
  5. Step 5: Solve for x
    x = 81,993,539.13/10,418.57
  6. Step 6: Final answer
    x = 7,869.95

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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.