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Finding the Fourth Proportional to 7,718.30, 11,572.98 and 6,795.70

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Solution

The fourth proportional to 7,718.30, 11,572.98 and 6,795.70 is: 10,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.30 : 11,572.98 = 6,795.70 : x
  2. Step 2: Convert to fraction form
    7,718.30/11,572.98 = 6,795.70/x
  3. Step 3: Cross multiply
    7,718.30x = 11,572.98 × 6,795.70
  4. Step 4: Simplify right side
    7,718.30x = 78,646,500.19
  5. Step 5: Solve for x
    x = 78,646,500.19/7,718.30
  6. Step 6: Final answer
    x = 10,189.61

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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.