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Finding the Fourth Proportional to 8,547.89, 12,816.32 and 3,616.20

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Solution

The fourth proportional to 8,547.89, 12,816.32 and 3,616.20 is: 5,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.89 : 12,816.32 = 3,616.20 : x
  2. Step 2: Convert to fraction form
    8,547.89/12,816.32 = 3,616.20/x
  3. Step 3: Cross multiply
    8,547.89x = 12,816.32 × 3,616.20
  4. Step 4: Simplify right side
    8,547.89x = 46,346,358.30
  5. Step 5: Solve for x
    x = 46,346,358.30/8,547.89
  6. Step 6: Final answer
    x = 5,421.97

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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.