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Finding the Fourth Proportional to 8,547.12, 12,822.24 and 3,930

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Solution

The fourth proportional to 8,547.12, 12,822.24 and 3,930 is: 5,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.12 : 12,822.24 = 3,930 : x
  2. Step 2: Convert to fraction form
    8,547.12/12,822.24 = 3,930/x
  3. Step 3: Cross multiply
    8,547.12x = 12,822.24 × 3,930
  4. Step 4: Simplify right side
    8,547.12x = 50,391,403.20
  5. Step 5: Solve for x
    x = 50,391,403.20/8,547.12
  6. Step 6: Final answer
    x = 5,895.72

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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.