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Finding the Fourth Proportional to 8,117.10, 12,169.71 and 2,567.34

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Solution

The fourth proportional to 8,117.10, 12,169.71 and 2,567.34 is: 3,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.10 : 12,169.71 = 2,567.34 : x
  2. Step 2: Convert to fraction form
    8,117.10/12,169.71 = 2,567.34/x
  3. Step 3: Cross multiply
    8,117.10x = 12,169.71 × 2,567.34
  4. Step 4: Simplify right side
    8,117.10x = 31,243,783.27
  5. Step 5: Solve for x
    x = 31,243,783.27/8,117.10
  6. Step 6: Final answer
    x = 3,849.13

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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.