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Finding the Fourth Proportional to 7,854.66, 11,766.54 and 4,560.84

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Solution

The fourth proportional to 7,854.66, 11,766.54 and 4,560.84 is: 6,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.66 : 11,766.54 = 4,560.84 : x
  2. Step 2: Convert to fraction form
    7,854.66/11,766.54 = 4,560.84/x
  3. Step 3: Cross multiply
    7,854.66x = 11,766.54 × 4,560.84
  4. Step 4: Simplify right side
    7,854.66x = 53,665,306.29
  5. Step 5: Solve for x
    x = 53,665,306.29/7,854.66
  6. Step 6: Final answer
    x = 6,832.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.