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Finding the Fourth Proportional to 10,773.72, 14,864.16 and 8,780.85

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Solution

The fourth proportional to 10,773.72, 14,864.16 and 8,780.85 is: 12,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.72 : 14,864.16 = 8,780.85 : x
  2. Step 2: Convert to fraction form
    10,773.72/14,864.16 = 8,780.85/x
  3. Step 3: Cross multiply
    10,773.72x = 14,864.16 × 8,780.85
  4. Step 4: Simplify right side
    10,773.72x = 130,519,959.34
  5. Step 5: Solve for x
    x = 130,519,959.34/10,773.72
  6. Step 6: Final answer
    x = 12,114.66

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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.