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Finding the Fourth Proportional to 8,575.30, 12,022.70 and 8,575.30

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Solution

The fourth proportional to 8,575.30, 12,022.70 and 8,575.30 is: 12,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.30 : 12,022.70 = 8,575.30 : x
  2. Step 2: Convert to fraction form
    8,575.30/12,022.70 = 8,575.30/x
  3. Step 3: Cross multiply
    8,575.30x = 12,022.70 × 8,575.30
  4. Step 4: Simplify right side
    8,575.30x = 103,098,259.31
  5. Step 5: Solve for x
    x = 103,098,259.31/8,575.30
  6. Step 6: Final answer
    x = 12,022.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.