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Finding the Fourth Proportional to 7,920.54, 10,920.24 and 6,499.08

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Solution

The fourth proportional to 7,920.54, 10,920.24 and 6,499.08 is: 8,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.54 : 10,920.24 = 6,499.08 : x
  2. Step 2: Convert to fraction form
    7,920.54/10,920.24 = 6,499.08/x
  3. Step 3: Cross multiply
    7,920.54x = 10,920.24 × 6,499.08
  4. Step 4: Simplify right side
    7,920.54x = 70,971,513.38
  5. Step 5: Solve for x
    x = 70,971,513.38/7,920.54
  6. Step 6: Final answer
    x = 8,960.44

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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.