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Finding the Fourth Proportional to 10,320.20, 14,242.05 and 5,604.48

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Solution

The fourth proportional to 10,320.20, 14,242.05 and 5,604.48 is: 7,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.20 : 14,242.05 = 5,604.48 : x
  2. Step 2: Convert to fraction form
    10,320.20/14,242.05 = 5,604.48/x
  3. Step 3: Cross multiply
    10,320.20x = 14,242.05 × 5,604.48
  4. Step 4: Simplify right side
    10,320.20x = 79,819,284.38
  5. Step 5: Solve for x
    x = 79,819,284.38/10,320.20
  6. Step 6: Final answer
    x = 7,734.28

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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.