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Finding the Fourth Proportional to 10,865.86, 16,301.52 and 3,074.68

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Solution

The fourth proportional to 10,865.86, 16,301.52 and 3,074.68 is: 4,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.86 : 16,301.52 = 3,074.68 : x
  2. Step 2: Convert to fraction form
    10,865.86/16,301.52 = 3,074.68/x
  3. Step 3: Cross multiply
    10,865.86x = 16,301.52 × 3,074.68
  4. Step 4: Simplify right side
    10,865.86x = 50,121,957.51
  5. Step 5: Solve for x
    x = 50,121,957.51/10,865.86
  6. Step 6: Final answer
    x = 4,612.79

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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.