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Finding the Fourth Proportional to 10,228.95, 14,116.28 and 5,752.49

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Solution

The fourth proportional to 10,228.95, 14,116.28 and 5,752.49 is: 7,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.95 : 14,116.28 = 5,752.49 : x
  2. Step 2: Convert to fraction form
    10,228.95/14,116.28 = 5,752.49/x
  3. Step 3: Cross multiply
    10,228.95x = 14,116.28 × 5,752.49
  4. Step 4: Simplify right side
    10,228.95x = 81,203,660.19
  5. Step 5: Solve for x
    x = 81,203,660.19/10,228.95
  6. Step 6: Final answer
    x = 7,938.61

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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.