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Finding the Fourth Proportional to 10,693.56, 16,031.67 and 4,458.24

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Solution

The fourth proportional to 10,693.56, 16,031.67 and 4,458.24 is: 6,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.56 : 16,031.67 = 4,458.24 : x
  2. Step 2: Convert to fraction form
    10,693.56/16,031.67 = 4,458.24/x
  3. Step 3: Cross multiply
    10,693.56x = 16,031.67 × 4,458.24
  4. Step 4: Simplify right side
    10,693.56x = 71,473,032.46
  5. Step 5: Solve for x
    x = 71,473,032.46/10,693.56
  6. Step 6: Final answer
    x = 6,683.75

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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.