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Finding the Fourth Proportional to 10,434.60, 14,398.92 and 5,718.84

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Solution

The fourth proportional to 10,434.60, 14,398.92 and 5,718.84 is: 7,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.60 : 14,398.92 = 5,718.84 : x
  2. Step 2: Convert to fraction form
    10,434.60/14,398.92 = 5,718.84/x
  3. Step 3: Cross multiply
    10,434.60x = 14,398.92 × 5,718.84
  4. Step 4: Simplify right side
    10,434.60x = 82,345,119.65
  5. Step 5: Solve for x
    x = 82,345,119.65/10,434.60
  6. Step 6: Final answer
    x = 7,891.55

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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.