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Finding the Fourth Proportional to 10,521.27, 15,766.86 and 7,726.01

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Solution

The fourth proportional to 10,521.27, 15,766.86 and 7,726.01 is: 11,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.27 : 15,766.86 = 7,726.01 : x
  2. Step 2: Convert to fraction form
    10,521.27/15,766.86 = 7,726.01/x
  3. Step 3: Cross multiply
    10,521.27x = 15,766.86 × 7,726.01
  4. Step 4: Simplify right side
    10,521.27x = 121,814,918.03
  5. Step 5: Solve for x
    x = 121,814,918.03/10,521.27
  6. Step 6: Final answer
    x = 11,577.97

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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.