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Finding the Fourth Proportional to 8,532.60, 12,798 and 2,293.26

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Solution

The fourth proportional to 8,532.60, 12,798 and 2,293.26 is: 3,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.60 : 12,798 = 2,293.26 : x
  2. Step 2: Convert to fraction form
    8,532.60/12,798 = 2,293.26/x
  3. Step 3: Cross multiply
    8,532.60x = 12,798 × 2,293.26
  4. Step 4: Simplify right side
    8,532.60x = 29,349,141.48
  5. Step 5: Solve for x
    x = 29,349,141.48/8,532.60
  6. Step 6: Final answer
    x = 3,439.65

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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.