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Finding the Fourth Proportional to 7,865.80, 10,854.99 and 4,679.47

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Solution

The fourth proportional to 7,865.80, 10,854.99 and 4,679.47 is: 6,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.80 : 10,854.99 = 4,679.47 : x
  2. Step 2: Convert to fraction form
    7,865.80/10,854.99 = 4,679.47/x
  3. Step 3: Cross multiply
    7,865.80x = 10,854.99 × 4,679.47
  4. Step 4: Simplify right side
    7,865.80x = 50,795,600.06
  5. Step 5: Solve for x
    x = 50,795,600.06/7,865.80
  6. Step 6: Final answer
    x = 6,457.78

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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.