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Finding the Fourth Proportional to 7,726.34, 11,577.28 and 5,871.79

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Solution

The fourth proportional to 7,726.34, 11,577.28 and 5,871.79 is: 8,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.34 : 11,577.28 = 5,871.79 : x
  2. Step 2: Convert to fraction form
    7,726.34/11,577.28 = 5,871.79/x
  3. Step 3: Cross multiply
    7,726.34x = 11,577.28 × 5,871.79
  4. Step 4: Simplify right side
    7,726.34x = 67,979,367.73
  5. Step 5: Solve for x
    x = 67,979,367.73/7,726.34
  6. Step 6: Final answer
    x = 8,798.40

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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.