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Finding the Fourth Proportional to 10,330.03, 14,255.04 and 5,614.21

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Solution

The fourth proportional to 10,330.03, 14,255.04 and 5,614.21 is: 7,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.03 : 14,255.04 = 5,614.21 : x
  2. Step 2: Convert to fraction form
    10,330.03/14,255.04 = 5,614.21/x
  3. Step 3: Cross multiply
    10,330.03x = 14,255.04 × 5,614.21
  4. Step 4: Simplify right side
    10,330.03x = 80,030,788.12
  5. Step 5: Solve for x
    x = 80,030,788.12/10,330.03
  6. Step 6: Final answer
    x = 7,747.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.