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Finding the Fourth Proportional to 7,294.14, 10,920.54 and 5,669.69

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Solution

The fourth proportional to 7,294.14, 10,920.54 and 5,669.69 is: 8,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.14 : 10,920.54 = 5,669.69 : x
  2. Step 2: Convert to fraction form
    7,294.14/10,920.54 = 5,669.69/x
  3. Step 3: Cross multiply
    7,294.14x = 10,920.54 × 5,669.69
  4. Step 4: Simplify right side
    7,294.14x = 61,916,021.83
  5. Step 5: Solve for x
    x = 61,916,021.83/7,294.14
  6. Step 6: Final answer
    x = 8,488.46

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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.