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Finding the Fourth Proportional to 13,116.52, 18,098.68 and 7,811.20

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Solution

The fourth proportional to 13,116.52, 18,098.68 and 7,811.20 is: 10,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.52 : 18,098.68 = 7,811.20 : x
  2. Step 2: Convert to fraction form
    13,116.52/18,098.68 = 7,811.20/x
  3. Step 3: Cross multiply
    13,116.52x = 18,098.68 × 7,811.20
  4. Step 4: Simplify right side
    13,116.52x = 141,372,409.22
  5. Step 5: Solve for x
    x = 141,372,409.22/13,116.52
  6. Step 6: Final answer
    x = 10,778.19

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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.