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Finding the Fourth Proportional to 8,686.97, 13,030.47 and 2,113.16

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Solution

The fourth proportional to 8,686.97, 13,030.47 and 2,113.16 is: 3,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.97 : 13,030.47 = 2,113.16 : x
  2. Step 2: Convert to fraction form
    8,686.97/13,030.47 = 2,113.16/x
  3. Step 3: Cross multiply
    8,686.97x = 13,030.47 × 2,113.16
  4. Step 4: Simplify right side
    8,686.97x = 27,535,467.99
  5. Step 5: Solve for x
    x = 27,535,467.99/8,686.97
  6. Step 6: Final answer
    x = 3,169.74

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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.