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Finding the Fourth Proportional to 8,570.68, 12,847.24 and 4,865.08

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Solution

The fourth proportional to 8,570.68, 12,847.24 and 4,865.08 is: 7,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.68 : 12,847.24 = 4,865.08 : x
  2. Step 2: Convert to fraction form
    8,570.68/12,847.24 = 4,865.08/x
  3. Step 3: Cross multiply
    8,570.68x = 12,847.24 × 4,865.08
  4. Step 4: Simplify right side
    8,570.68x = 62,502,850.38
  5. Step 5: Solve for x
    x = 62,502,850.38/8,570.68
  6. Step 6: Final answer
    x = 7,292.64

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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.