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Finding the Fourth Proportional to 10,497.33, 14,486.97 and 5,781.61

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Solution

The fourth proportional to 10,497.33, 14,486.97 and 5,781.61 is: 7,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.33 : 14,486.97 = 5,781.61 : x
  2. Step 2: Convert to fraction form
    10,497.33/14,486.97 = 5,781.61/x
  3. Step 3: Cross multiply
    10,497.33x = 14,486.97 × 5,781.61
  4. Step 4: Simplify right side
    10,497.33x = 83,758,010.62
  5. Step 5: Solve for x
    x = 83,758,010.62/10,497.33
  6. Step 6: Final answer
    x = 7,978.98

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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.