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Finding the Fourth Proportional to 11,462.39, 15,824.99 and 7,490.15

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Solution

The fourth proportional to 11,462.39, 15,824.99 and 7,490.15 is: 10,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.39 : 15,824.99 = 7,490.15 : x
  2. Step 2: Convert to fraction form
    11,462.39/15,824.99 = 7,490.15/x
  3. Step 3: Cross multiply
    11,462.39x = 15,824.99 × 7,490.15
  4. Step 4: Simplify right side
    11,462.39x = 118,531,488.45
  5. Step 5: Solve for x
    x = 118,531,488.45/11,462.39
  6. Step 6: Final answer
    x = 10,340.91

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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.