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Finding the Fourth Proportional to 8,148.09, 12,223.35 and 2,952.75

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Solution

The fourth proportional to 8,148.09, 12,223.35 and 2,952.75 is: 4,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.09 : 12,223.35 = 2,952.75 : x
  2. Step 2: Convert to fraction form
    8,148.09/12,223.35 = 2,952.75/x
  3. Step 3: Cross multiply
    8,148.09x = 12,223.35 × 2,952.75
  4. Step 4: Simplify right side
    8,148.09x = 36,092,496.71
  5. Step 5: Solve for x
    x = 36,092,496.71/8,148.09
  6. Step 6: Final answer
    x = 4,429.57

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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.