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Finding the Fourth Proportional to 11,486.30, 15,849.89 and 7,708.70

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Solution

The fourth proportional to 11,486.30, 15,849.89 and 7,708.70 is: 10,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.30 : 15,849.89 = 7,708.70 : x
  2. Step 2: Convert to fraction form
    11,486.30/15,849.89 = 7,708.70/x
  3. Step 3: Cross multiply
    11,486.30x = 15,849.89 × 7,708.70
  4. Step 4: Simplify right side
    11,486.30x = 122,182,047.04
  5. Step 5: Solve for x
    x = 122,182,047.04/11,486.30
  6. Step 6: Final answer
    x = 10,637.20

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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.