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Finding the Fourth Proportional to 8,298.74, 11,451.56 and 4,761.20

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Solution

The fourth proportional to 8,298.74, 11,451.56 and 4,761.20 is: 6,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.74 : 11,451.56 = 4,761.20 : x
  2. Step 2: Convert to fraction form
    8,298.74/11,451.56 = 4,761.20/x
  3. Step 3: Cross multiply
    8,298.74x = 11,451.56 × 4,761.20
  4. Step 4: Simplify right side
    8,298.74x = 54,523,167.47
  5. Step 5: Solve for x
    x = 54,523,167.47/8,298.74
  6. Step 6: Final answer
    x = 6,570.05

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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.