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Finding the Fourth Proportional to 10,295.74, 14,200.62 and 6,519.52

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Solution

The fourth proportional to 10,295.74, 14,200.62 and 6,519.52 is: 8,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.74 : 14,200.62 = 6,519.52 : x
  2. Step 2: Convert to fraction form
    10,295.74/14,200.62 = 6,519.52/x
  3. Step 3: Cross multiply
    10,295.74x = 14,200.62 × 6,519.52
  4. Step 4: Simplify right side
    10,295.74x = 92,581,226.10
  5. Step 5: Solve for x
    x = 92,581,226.10/10,295.74
  6. Step 6: Final answer
    x = 8,992.19

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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.