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Finding the Fourth Proportional to 8,077.92, 12,035.64 and 7,548

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Solution

The fourth proportional to 8,077.92, 12,035.64 and 7,548 is: 11,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.92 : 12,035.64 = 7,548 : x
  2. Step 2: Convert to fraction form
    8,077.92/12,035.64 = 7,548/x
  3. Step 3: Cross multiply
    8,077.92x = 12,035.64 × 7,548
  4. Step 4: Simplify right side
    8,077.92x = 90,845,010.72
  5. Step 5: Solve for x
    x = 90,845,010.72/8,077.92
  6. Step 6: Final answer
    x = 11,246.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.