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Finding the Fourth Proportional to 10,984.41, 15,158.41 and 5,948.52

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Solution

The fourth proportional to 10,984.41, 15,158.41 and 5,948.52 is: 8,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.41 : 15,158.41 = 5,948.52 : x
  2. Step 2: Convert to fraction form
    10,984.41/15,158.41 = 5,948.52/x
  3. Step 3: Cross multiply
    10,984.41x = 15,158.41 × 5,948.52
  4. Step 4: Simplify right side
    10,984.41x = 90,170,029.26
  5. Step 5: Solve for x
    x = 90,170,029.26/10,984.41
  6. Step 6: Final answer
    x = 8,208.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.