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Finding the Fourth Proportional to 13,082.60, 18,053.88 and 7,708.16

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Solution

The fourth proportional to 13,082.60, 18,053.88 and 7,708.16 is: 10,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.60 : 18,053.88 = 7,708.16 : x
  2. Step 2: Convert to fraction form
    13,082.60/18,053.88 = 7,708.16/x
  3. Step 3: Cross multiply
    13,082.60x = 18,053.88 × 7,708.16
  4. Step 4: Simplify right side
    13,082.60x = 139,162,195.66
  5. Step 5: Solve for x
    x = 139,162,195.66/13,082.60
  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.