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Finding the Fourth Proportional to 8,232.18, 12,348.27 and 3,852.71

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Solution

The fourth proportional to 8,232.18, 12,348.27 and 3,852.71 is: 5,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.18 : 12,348.27 = 3,852.71 : x
  2. Step 2: Convert to fraction form
    8,232.18/12,348.27 = 3,852.71/x
  3. Step 3: Cross multiply
    8,232.18x = 12,348.27 × 3,852.71
  4. Step 4: Simplify right side
    8,232.18x = 47,574,368.17
  5. Step 5: Solve for x
    x = 47,574,368.17/8,232.18
  6. Step 6: Final answer
    x = 5,779.07

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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.