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Finding the Fourth Proportional to 10,486.44, 15,681.06 and 8,119.62

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Solution

The fourth proportional to 10,486.44, 15,681.06 and 8,119.62 is: 12,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.44 : 15,681.06 = 8,119.62 : x
  2. Step 2: Convert to fraction form
    10,486.44/15,681.06 = 8,119.62/x
  3. Step 3: Cross multiply
    10,486.44x = 15,681.06 × 8,119.62
  4. Step 4: Simplify right side
    10,486.44x = 127,324,248.40
  5. Step 5: Solve for x
    x = 127,324,248.40/10,486.44
  6. Step 6: Final answer
    x = 12,141.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.