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Finding the Fourth Proportional to 10,482.30, 14,465.49 and 5,766.48

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Solution

The fourth proportional to 10,482.30, 14,465.49 and 5,766.48 is: 7,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.30 : 14,465.49 = 5,766.48 : x
  2. Step 2: Convert to fraction form
    10,482.30/14,465.49 = 5,766.48/x
  3. Step 3: Cross multiply
    10,482.30x = 14,465.49 × 5,766.48
  4. Step 4: Simplify right side
    10,482.30x = 83,414,958.78
  5. Step 5: Solve for x
    x = 83,414,958.78/10,482.30
  6. Step 6: Final answer
    x = 7,957.70

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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.