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Finding the Fourth Proportional to 8,713.22, 13,037.53 and 5,205.14

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Solution

The fourth proportional to 8,713.22, 13,037.53 and 5,205.14 is: 7,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.22 : 13,037.53 = 5,205.14 : x
  2. Step 2: Convert to fraction form
    8,713.22/13,037.53 = 5,205.14/x
  3. Step 3: Cross multiply
    8,713.22x = 13,037.53 × 5,205.14
  4. Step 4: Simplify right side
    8,713.22x = 67,862,127.33
  5. Step 5: Solve for x
    x = 67,862,127.33/8,713.22
  6. Step 6: Final answer
    x = 7,788.41

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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.