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Finding the Fourth Proportional to 8,502.40, 11,734.22 and 4,966.76

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Solution

The fourth proportional to 8,502.40, 11,734.22 and 4,966.76 is: 6,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.40 : 11,734.22 = 4,966.76 : x
  2. Step 2: Convert to fraction form
    8,502.40/11,734.22 = 4,966.76/x
  3. Step 3: Cross multiply
    8,502.40x = 11,734.22 × 4,966.76
  4. Step 4: Simplify right side
    8,502.40x = 58,281,054.53
  5. Step 5: Solve for x
    x = 58,281,054.53/8,502.40
  6. Step 6: Final answer
    x = 6,854.66

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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.