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Finding the Fourth Proportional to 10,433.32, 15,649.84 and 4,194.92

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Solution

The fourth proportional to 10,433.32, 15,649.84 and 4,194.92 is: 6,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.32 : 15,649.84 = 4,194.92 : x
  2. Step 2: Convert to fraction form
    10,433.32/15,649.84 = 4,194.92/x
  3. Step 3: Cross multiply
    10,433.32x = 15,649.84 × 4,194.92
  4. Step 4: Simplify right side
    10,433.32x = 65,649,826.81
  5. Step 5: Solve for x
    x = 65,649,826.81/10,433.32
  6. Step 6: Final answer
    x = 6,292.32

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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.