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Finding the Fourth Proportional to 8,352.30, 12,527.64 and 2,196.30

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Solution

The fourth proportional to 8,352.30, 12,527.64 and 2,196.30 is: 3,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.30 : 12,527.64 = 2,196.30 : x
  2. Step 2: Convert to fraction form
    8,352.30/12,527.64 = 2,196.30/x
  3. Step 3: Cross multiply
    8,352.30x = 12,527.64 × 2,196.30
  4. Step 4: Simplify right side
    8,352.30x = 27,514,455.73
  5. Step 5: Solve for x
    x = 27,514,455.73/8,352.30
  6. Step 6: Final answer
    x = 3,294.24

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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.