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Finding the Fourth Proportional to 10,957.32, 16,443.30 and 4,031.82

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Solution

The fourth proportional to 10,957.32, 16,443.30 and 4,031.82 is: 6,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.32 : 16,443.30 = 4,031.82 : x
  2. Step 2: Convert to fraction form
    10,957.32/16,443.30 = 4,031.82/x
  3. Step 3: Cross multiply
    10,957.32x = 16,443.30 × 4,031.82
  4. Step 4: Simplify right side
    10,957.32x = 66,296,425.81
  5. Step 5: Solve for x
    x = 66,296,425.81/10,957.32
  6. Step 6: Final answer
    x = 6,050.42

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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.