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Finding the Fourth Proportional to 10,339.80, 14,270.98 and 6,147.24

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Solution

The fourth proportional to 10,339.80, 14,270.98 and 6,147.24 is: 8,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.80 : 14,270.98 = 6,147.24 : x
  2. Step 2: Convert to fraction form
    10,339.80/14,270.98 = 6,147.24/x
  3. Step 3: Cross multiply
    10,339.80x = 14,270.98 × 6,147.24
  4. Step 4: Simplify right side
    10,339.80x = 87,727,139.10
  5. Step 5: Solve for x
    x = 87,727,139.10/10,339.80
  6. Step 6: Final answer
    x = 8,484.41

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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.