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Finding the Fourth Proportional to 10,967.86, 16,449.36 and 4,392.28

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Solution

The fourth proportional to 10,967.86, 16,449.36 and 4,392.28 is: 6,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.86 : 16,449.36 = 4,392.28 : x
  2. Step 2: Convert to fraction form
    10,967.86/16,449.36 = 4,392.28/x
  3. Step 3: Cross multiply
    10,967.86x = 16,449.36 × 4,392.28
  4. Step 4: Simplify right side
    10,967.86x = 72,250,194.94
  5. Step 5: Solve for x
    x = 72,250,194.94/10,967.86
  6. Step 6: Final answer
    x = 6,587.45

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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.