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Finding the Fourth Proportional to 10,726.47, 14,799.04 and 6,249.20

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Solution

The fourth proportional to 10,726.47, 14,799.04 and 6,249.20 is: 8,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.47 : 14,799.04 = 6,249.20 : x
  2. Step 2: Convert to fraction form
    10,726.47/14,799.04 = 6,249.20/x
  3. Step 3: Cross multiply
    10,726.47x = 14,799.04 × 6,249.20
  4. Step 4: Simplify right side
    10,726.47x = 92,482,071.15
  5. Step 5: Solve for x
    x = 92,482,071.15/10,726.47
  6. Step 6: Final answer
    x = 8,621.86

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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.