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Finding the Fourth Proportional to 7,763.92, 10,712.46 and 6,510.04

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Solution

The fourth proportional to 7,763.92, 10,712.46 and 6,510.04 is: 8,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.92 : 10,712.46 = 6,510.04 : x
  2. Step 2: Convert to fraction form
    7,763.92/10,712.46 = 6,510.04/x
  3. Step 3: Cross multiply
    7,763.92x = 10,712.46 × 6,510.04
  4. Step 4: Simplify right side
    7,763.92x = 69,738,543.10
  5. Step 5: Solve for x
    x = 69,738,543.10/7,763.92
  6. Step 6: Final answer
    x = 8,982.39

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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.