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Finding the Fourth Proportional to 10,409.20, 15,597.36 and 3,826.32

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Solution

The fourth proportional to 10,409.20, 15,597.36 and 3,826.32 is: 5,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.20 : 15,597.36 = 3,826.32 : x
  2. Step 2: Convert to fraction form
    10,409.20/15,597.36 = 3,826.32/x
  3. Step 3: Cross multiply
    10,409.20x = 15,597.36 × 3,826.32
  4. Step 4: Simplify right side
    10,409.20x = 59,680,490.52
  5. Step 5: Solve for x
    x = 59,680,490.52/10,409.20
  6. Step 6: Final answer
    x = 5,733.44

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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.