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Finding the Fourth Proportional to 10,683.59, 16,031.10 and 4,447.89

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Solution

The fourth proportional to 10,683.59, 16,031.10 and 4,447.89 is: 6,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.59 : 16,031.10 = 4,447.89 : x
  2. Step 2: Convert to fraction form
    10,683.59/16,031.10 = 4,447.89/x
  3. Step 3: Cross multiply
    10,683.59x = 16,031.10 × 4,447.89
  4. Step 4: Simplify right side
    10,683.59x = 71,304,569.38
  5. Step 5: Solve for x
    x = 71,304,569.38/10,683.59
  6. Step 6: Final answer
    x = 6,674.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.