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Finding the Fourth Proportional to 10,293.88, 15,435.86 and 5,910.20

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Solution

The fourth proportional to 10,293.88, 15,435.86 and 5,910.20 is: 8,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.88 : 15,435.86 = 5,910.20 : x
  2. Step 2: Convert to fraction form
    10,293.88/15,435.86 = 5,910.20/x
  3. Step 3: Cross multiply
    10,293.88x = 15,435.86 × 5,910.20
  4. Step 4: Simplify right side
    10,293.88x = 91,229,019.77
  5. Step 5: Solve for x
    x = 91,229,019.77/10,293.88
  6. Step 6: Final answer
    x = 8,862.45

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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.