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Finding the Fourth Proportional to 10,034.38, 13,848.23 and 5,558.56

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Solution

The fourth proportional to 10,034.38, 13,848.23 and 5,558.56 is: 7,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.38 : 13,848.23 = 5,558.56 : x
  2. Step 2: Convert to fraction form
    10,034.38/13,848.23 = 5,558.56/x
  3. Step 3: Cross multiply
    10,034.38x = 13,848.23 × 5,558.56
  4. Step 4: Simplify right side
    10,034.38x = 76,976,154.94
  5. Step 5: Solve for x
    x = 76,976,154.94/10,034.38
  6. Step 6: Final answer
    x = 7,671.24

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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.