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Finding the Fourth Proportional to 11,391.98, 15,719.40 and 6,355.46

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Solution

The fourth proportional to 11,391.98, 15,719.40 and 6,355.46 is: 8,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.98 : 15,719.40 = 6,355.46 : x
  2. Step 2: Convert to fraction form
    11,391.98/15,719.40 = 6,355.46/x
  3. Step 3: Cross multiply
    11,391.98x = 15,719.40 × 6,355.46
  4. Step 4: Simplify right side
    11,391.98x = 99,904,057.22
  5. Step 5: Solve for x
    x = 99,904,057.22/11,391.98
  6. Step 6: Final answer
    x = 8,769.69

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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.