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Finding the Fourth Proportional to 7,726.52, 11,589.88 and 5,110.76

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Solution

The fourth proportional to 7,726.52, 11,589.88 and 5,110.76 is: 7,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.52 : 11,589.88 = 5,110.76 : x
  2. Step 2: Convert to fraction form
    7,726.52/11,589.88 = 5,110.76/x
  3. Step 3: Cross multiply
    7,726.52x = 11,589.88 × 5,110.76
  4. Step 4: Simplify right side
    7,726.52x = 59,233,095.11
  5. Step 5: Solve for x
    x = 59,233,095.11/7,726.52
  6. Step 6: Final answer
    x = 7,666.21

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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.