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Finding the Fourth Proportional to 10,347.41, 14,279.48 and 5,631.74

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Solution

The fourth proportional to 10,347.41, 14,279.48 and 5,631.74 is: 7,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.41 : 14,279.48 = 5,631.74 : x
  2. Step 2: Convert to fraction form
    10,347.41/14,279.48 = 5,631.74/x
  3. Step 3: Cross multiply
    10,347.41x = 14,279.48 × 5,631.74
  4. Step 4: Simplify right side
    10,347.41x = 80,418,261.38
  5. Step 5: Solve for x
    x = 80,418,261.38/10,347.41
  6. Step 6: Final answer
    x = 7,771.83

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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.