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Finding the Fourth Proportional to 10,497.67, 14,486.48 and 5,781.95

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Solution

The fourth proportional to 10,497.67, 14,486.48 and 5,781.95 is: 7,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.67 : 14,486.48 = 5,781.95 : x
  2. Step 2: Convert to fraction form
    10,497.67/14,486.48 = 5,781.95/x
  3. Step 3: Cross multiply
    10,497.67x = 14,486.48 × 5,781.95
  4. Step 4: Simplify right side
    10,497.67x = 83,760,077.70
  5. Step 5: Solve for x
    x = 83,760,077.70/10,497.67
  6. Step 6: Final answer
    x = 7,978.92

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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.