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Finding the Fourth Proportional to 10,575.97, 15,866.07 and 4,002.19

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Solution

The fourth proportional to 10,575.97, 15,866.07 and 4,002.19 is: 6,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.97 : 15,866.07 = 4,002.19 : x
  2. Step 2: Convert to fraction form
    10,575.97/15,866.07 = 4,002.19/x
  3. Step 3: Cross multiply
    10,575.97x = 15,866.07 × 4,002.19
  4. Step 4: Simplify right side
    10,575.97x = 63,499,026.69
  5. Step 5: Solve for x
    x = 63,499,026.69/10,575.97
  6. Step 6: Final answer
    x = 6,004.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.