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Finding the Fourth Proportional to 10,407.38, 14,348.63 and 7,575.22

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Solution

The fourth proportional to 10,407.38, 14,348.63 and 7,575.22 is: 10,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.38 : 14,348.63 = 7,575.22 : x
  2. Step 2: Convert to fraction form
    10,407.38/14,348.63 = 7,575.22/x
  3. Step 3: Cross multiply
    10,407.38x = 14,348.63 × 7,575.22
  4. Step 4: Simplify right side
    10,407.38x = 108,693,919.33
  5. Step 5: Solve for x
    x = 108,693,919.33/10,407.38
  6. Step 6: Final answer
    x = 10,443.93

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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.