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Finding the Fourth Proportional to 8,100.92, 11,178.60 and 4,565

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Solution

The fourth proportional to 8,100.92, 11,178.60 and 4,565 is: 6,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.92 : 11,178.60 = 4,565 : x
  2. Step 2: Convert to fraction form
    8,100.92/11,178.60 = 4,565/x
  3. Step 3: Cross multiply
    8,100.92x = 11,178.60 × 4,565
  4. Step 4: Simplify right side
    8,100.92x = 51,030,309
  5. Step 5: Solve for x
    x = 51,030,309/8,100.92
  6. Step 6: Final answer
    x = 6,299.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.