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Finding the Fourth Proportional to 7,253.68, 10,010 and 4,109.90

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Solution

The fourth proportional to 7,253.68, 10,010 and 4,109.90 is: 5,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.68 : 10,010 = 4,109.90 : x
  2. Step 2: Convert to fraction form
    7,253.68/10,010 = 4,109.90/x
  3. Step 3: Cross multiply
    7,253.68x = 10,010 × 4,109.90
  4. Step 4: Simplify right side
    7,253.68x = 41,140,099
  5. Step 5: Solve for x
    x = 41,140,099/7,253.68
  6. Step 6: Final answer
    x = 5,671.62

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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.