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Finding the Fourth Proportional to 8,898.97, 13,356.50 and 4,742.49

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Solution

The fourth proportional to 8,898.97, 13,356.50 and 4,742.49 is: 7,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898.97 : 13,356.50 = 4,742.49 : x
  2. Step 2: Convert to fraction form
    8,898.97/13,356.50 = 4,742.49/x
  3. Step 3: Cross multiply
    8,898.97x = 13,356.50 × 4,742.49
  4. Step 4: Simplify right side
    8,898.97x = 63,343,067.69
  5. Step 5: Solve for x
    x = 63,343,067.69/8,898.97
  6. Step 6: Final answer
    x = 7,118.02

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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.