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Finding the Fourth Proportional to 10,443.32, 15,661.10 and 4,201.24

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Solution

The fourth proportional to 10,443.32, 15,661.10 and 4,201.24 is: 6,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.32 : 15,661.10 = 4,201.24 : x
  2. Step 2: Convert to fraction form
    10,443.32/15,661.10 = 4,201.24/x
  3. Step 3: Cross multiply
    10,443.32x = 15,661.10 × 4,201.24
  4. Step 4: Simplify right side
    10,443.32x = 65,796,039.76
  5. Step 5: Solve for x
    x = 65,796,039.76/10,443.32
  6. Step 6: Final answer
    x = 6,300.30

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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.