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Finding the Fourth Proportional to 7,246.68, 10,000.14 and 4,102.68

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Solution

The fourth proportional to 7,246.68, 10,000.14 and 4,102.68 is: 5,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.68 : 10,000.14 = 4,102.68 : x
  2. Step 2: Convert to fraction form
    7,246.68/10,000.14 = 4,102.68/x
  3. Step 3: Cross multiply
    7,246.68x = 10,000.14 × 4,102.68
  4. Step 4: Simplify right side
    7,246.68x = 41,027,374.38
  5. Step 5: Solve for x
    x = 41,027,374.38/7,246.68
  6. Step 6: Final answer
    x = 5,661.54

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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.