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Finding the Fourth Proportional to 8,260.72, 11,391.68 and 7,577.76

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Solution

The fourth proportional to 8,260.72, 11,391.68 and 7,577.76 is: 10,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.72 : 11,391.68 = 7,577.76 : x
  2. Step 2: Convert to fraction form
    8,260.72/11,391.68 = 7,577.76/x
  3. Step 3: Cross multiply
    8,260.72x = 11,391.68 × 7,577.76
  4. Step 4: Simplify right side
    8,260.72x = 86,323,417.04
  5. Step 5: Solve for x
    x = 86,323,417.04/8,260.72
  6. Step 6: Final answer
    x = 10,449.87

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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.