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Finding the Fourth Proportional to 8,898.24, 12,277.44 and 5,753.84

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Solution

The fourth proportional to 8,898.24, 12,277.44 and 5,753.84 is: 7,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898.24 : 12,277.44 = 5,753.84 : x
  2. Step 2: Convert to fraction form
    8,898.24/12,277.44 = 5,753.84/x
  3. Step 3: Cross multiply
    8,898.24x = 12,277.44 × 5,753.84
  4. Step 4: Simplify right side
    8,898.24x = 70,642,425.37
  5. Step 5: Solve for x
    x = 70,642,425.37/8,898.24
  6. Step 6: Final answer
    x = 7,938.92

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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.