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Finding the Fourth Proportional to 10,814.74, 14,915.68 and 7,456.78

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Solution

The fourth proportional to 10,814.74, 14,915.68 and 7,456.78 is: 10,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.74 : 14,915.68 = 7,456.78 : x
  2. Step 2: Convert to fraction form
    10,814.74/14,915.68 = 7,456.78/x
  3. Step 3: Cross multiply
    10,814.74x = 14,915.68 × 7,456.78
  4. Step 4: Simplify right side
    10,814.74x = 111,222,944.31
  5. Step 5: Solve for x
    x = 111,222,944.31/10,814.74
  6. Step 6: Final answer
    x = 10,284.38

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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.