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Finding the Fourth Proportional to 10,743.69, 16,114.88 and 6,388.86

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Solution

The fourth proportional to 10,743.69, 16,114.88 and 6,388.86 is: 9,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.69 : 16,114.88 = 6,388.86 : x
  2. Step 2: Convert to fraction form
    10,743.69/16,114.88 = 6,388.86/x
  3. Step 3: Cross multiply
    10,743.69x = 16,114.88 × 6,388.86
  4. Step 4: Simplify right side
    10,743.69x = 102,955,712.24
  5. Step 5: Solve for x
    x = 102,955,712.24/10,743.69
  6. Step 6: Final answer
    x = 9,582.90

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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.