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Finding the Fourth Proportional to 8,686.98, 13,030.48 and 2,113.16

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Solution

The fourth proportional to 8,686.98, 13,030.48 and 2,113.16 is: 3,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.98 : 13,030.48 = 2,113.16 : x
  2. Step 2: Convert to fraction form
    8,686.98/13,030.48 = 2,113.16/x
  3. Step 3: Cross multiply
    8,686.98x = 13,030.48 × 2,113.16
  4. Step 4: Simplify right side
    8,686.98x = 27,535,489.12
  5. Step 5: Solve for x
    x = 27,535,489.12/8,686.98
  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.