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Finding the Fourth Proportional to 8,686.90, 13,029.13 and 2,842.75

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Solution

The fourth proportional to 8,686.90, 13,029.13 and 2,842.75 is: 4,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.90 : 13,029.13 = 2,842.75 : x
  2. Step 2: Convert to fraction form
    8,686.90/13,029.13 = 2,842.75/x
  3. Step 3: Cross multiply
    8,686.90x = 13,029.13 × 2,842.75
  4. Step 4: Simplify right side
    8,686.90x = 37,038,559.31
  5. Step 5: Solve for x
    x = 37,038,559.31/8,686.90
  6. Step 6: Final answer
    x = 4,263.73

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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.