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Finding the Fourth Proportional to 8,760.58, 13,123.85 and 7,778.86

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Solution

The fourth proportional to 8,760.58, 13,123.85 and 7,778.86 is: 11,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760.58 : 13,123.85 = 7,778.86 : x
  2. Step 2: Convert to fraction form
    8,760.58/13,123.85 = 7,778.86/x
  3. Step 3: Cross multiply
    8,760.58x = 13,123.85 × 7,778.86
  4. Step 4: Simplify right side
    8,760.58x = 102,088,520.11
  5. Step 5: Solve for x
    x = 102,088,520.11/8,760.58
  6. Step 6: Final answer
    x = 11,653.17

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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.