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Finding the Fourth Proportional to 8,547.14, 12,825.31 and 4,164.59

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Solution

The fourth proportional to 8,547.14, 12,825.31 and 4,164.59 is: 6,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.14 : 12,825.31 = 4,164.59 : x
  2. Step 2: Convert to fraction form
    8,547.14/12,825.31 = 4,164.59/x
  3. Step 3: Cross multiply
    8,547.14x = 12,825.31 × 4,164.59
  4. Step 4: Simplify right side
    8,547.14x = 53,412,179.42
  5. Step 5: Solve for x
    x = 53,412,179.42/8,547.14
  6. Step 6: Final answer
    x = 6,249.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.