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Finding the Fourth Proportional to 10,713.97, 14,791.85 and 8,484.85

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Solution

The fourth proportional to 10,713.97, 14,791.85 and 8,484.85 is: 11,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.97 : 14,791.85 = 8,484.85 : x
  2. Step 2: Convert to fraction form
    10,713.97/14,791.85 = 8,484.85/x
  3. Step 3: Cross multiply
    10,713.97x = 14,791.85 × 8,484.85
  4. Step 4: Simplify right side
    10,713.97x = 125,506,628.47
  5. Step 5: Solve for x
    x = 125,506,628.47/10,713.97
  6. Step 6: Final answer
    x = 11,714.30

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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.