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Finding the Fourth Proportional to 5,687.82, 8,547.12 and 5,367.06

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Solution

The fourth proportional to 5,687.82, 8,547.12 and 5,367.06 is: 8,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.82 : 8,547.12 = 5,367.06 : x
  2. Step 2: Convert to fraction form
    5,687.82/8,547.12 = 5,367.06/x
  3. Step 3: Cross multiply
    5,687.82x = 8,547.12 × 5,367.06
  4. Step 4: Simplify right side
    5,687.82x = 45,872,905.87
  5. Step 5: Solve for x
    x = 45,872,905.87/5,687.82
  6. Step 6: Final answer
    x = 8,065.11

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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.