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Finding the Fourth Proportional to 10,663.74, 14,716.05 and 5,948.31

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Solution

The fourth proportional to 10,663.74, 14,716.05 and 5,948.31 is: 8,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.74 : 14,716.05 = 5,948.31 : x
  2. Step 2: Convert to fraction form
    10,663.74/14,716.05 = 5,948.31/x
  3. Step 3: Cross multiply
    10,663.74x = 14,716.05 × 5,948.31
  4. Step 4: Simplify right side
    10,663.74x = 87,535,627.38
  5. Step 5: Solve for x
    x = 87,535,627.38/10,663.74
  6. Step 6: Final answer
    x = 8,208.72

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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.