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Finding the Fourth Proportional to 10,482.39, 14,465.67 and 5,766.66

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Solution

The fourth proportional to 10,482.39, 14,465.67 and 5,766.66 is: 7,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.39 : 14,465.67 = 5,766.66 : x
  2. Step 2: Convert to fraction form
    10,482.39/14,465.67 = 5,766.66/x
  3. Step 3: Cross multiply
    10,482.39x = 14,465.67 × 5,766.66
  4. Step 4: Simplify right side
    10,482.39x = 83,418,600.56
  5. Step 5: Solve for x
    x = 83,418,600.56/10,482.39
  6. Step 6: Final answer
    x = 7,957.98

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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.