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Finding the Fourth Proportional to 8,105.10, 12,152.25 and 6,547.02

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Solution

The fourth proportional to 8,105.10, 12,152.25 and 6,547.02 is: 9,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.10 : 12,152.25 = 6,547.02 : x
  2. Step 2: Convert to fraction form
    8,105.10/12,152.25 = 6,547.02/x
  3. Step 3: Cross multiply
    8,105.10x = 12,152.25 × 6,547.02
  4. Step 4: Simplify right side
    8,105.10x = 79,561,023.80
  5. Step 5: Solve for x
    x = 79,561,023.80/8,105.10
  6. Step 6: Final answer
    x = 9,816.17

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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.