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Finding the Fourth Proportional to 8,669.76, 11,965.92 and 4,944

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Solution

The fourth proportional to 8,669.76, 11,965.92 and 4,944 is: 6,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.76 : 11,965.92 = 4,944 : x
  2. Step 2: Convert to fraction form
    8,669.76/11,965.92 = 4,944/x
  3. Step 3: Cross multiply
    8,669.76x = 11,965.92 × 4,944
  4. Step 4: Simplify right side
    8,669.76x = 59,159,508.48
  5. Step 5: Solve for x
    x = 59,159,508.48/8,669.76
  6. Step 6: Final answer
    x = 6,823.66

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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.