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Finding the Fourth Proportional to 10,494.20, 15,726.20 and 6,051.69

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Solution

The fourth proportional to 10,494.20, 15,726.20 and 6,051.69 is: 9,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.20 : 15,726.20 = 6,051.69 : x
  2. Step 2: Convert to fraction form
    10,494.20/15,726.20 = 6,051.69/x
  3. Step 3: Cross multiply
    10,494.20x = 15,726.20 × 6,051.69
  4. Step 4: Simplify right side
    10,494.20x = 95,170,057.02
  5. Step 5: Solve for x
    x = 95,170,057.02/10,494.20
  6. Step 6: Final answer
    x = 9,068.82

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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.