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Finding the Fourth Proportional to 7,166.50, 10,754.07 and 3,062.50

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Solution

The fourth proportional to 7,166.50, 10,754.07 and 3,062.50 is: 4,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.50 : 10,754.07 = 3,062.50 : x
  2. Step 2: Convert to fraction form
    7,166.50/10,754.07 = 3,062.50/x
  3. Step 3: Cross multiply
    7,166.50x = 10,754.07 × 3,062.50
  4. Step 4: Simplify right side
    7,166.50x = 32,934,339.38
  5. Step 5: Solve for x
    x = 32,934,339.38/7,166.50
  6. Step 6: Final answer
    x = 4,595.60

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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.