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Finding the Fourth Proportional to 10,470.97, 14,449.69 and 5,690.79

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Solution

The fourth proportional to 10,470.97, 14,449.69 and 5,690.79 is: 7,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.97 : 14,449.69 = 5,690.79 : x
  2. Step 2: Convert to fraction form
    10,470.97/14,449.69 = 5,690.79/x
  3. Step 3: Cross multiply
    10,470.97x = 14,449.69 × 5,690.79
  4. Step 4: Simplify right side
    10,470.97x = 82,230,158.47
  5. Step 5: Solve for x
    x = 82,230,158.47/10,470.97
  6. Step 6: Final answer
    x = 7,853.15

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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.