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Finding the Fourth Proportional to 8,652.57, 12,978.86 and 4,952.22

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Solution

The fourth proportional to 8,652.57, 12,978.86 and 4,952.22 is: 7,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.57 : 12,978.86 = 4,952.22 : x
  2. Step 2: Convert to fraction form
    8,652.57/12,978.86 = 4,952.22/x
  3. Step 3: Cross multiply
    8,652.57x = 12,978.86 × 4,952.22
  4. Step 4: Simplify right side
    8,652.57x = 64,274,145.31
  5. Step 5: Solve for x
    x = 64,274,145.31/8,652.57
  6. Step 6: Final answer
    x = 7,428.33

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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.