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Finding the Fourth Proportional to 10,434.01, 14,398.90 and 5,718.25

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Solution

The fourth proportional to 10,434.01, 14,398.90 and 5,718.25 is: 7,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.01 : 14,398.90 = 5,718.25 : x
  2. Step 2: Convert to fraction form
    10,434.01/14,398.90 = 5,718.25/x
  3. Step 3: Cross multiply
    10,434.01x = 14,398.90 × 5,718.25
  4. Step 4: Simplify right side
    10,434.01x = 82,336,481.33
  5. Step 5: Solve for x
    x = 82,336,481.33/10,434.01
  6. Step 6: Final answer
    x = 7,891.17

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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.