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Finding the Fourth Proportional to 10,241.16, 15,370.90 and 5,246.94

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Solution

The fourth proportional to 10,241.16, 15,370.90 and 5,246.94 is: 7,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.16 : 15,370.90 = 5,246.94 : x
  2. Step 2: Convert to fraction form
    10,241.16/15,370.90 = 5,246.94/x
  3. Step 3: Cross multiply
    10,241.16x = 15,370.90 × 5,246.94
  4. Step 4: Simplify right side
    10,241.16x = 80,650,138.50
  5. Step 5: Solve for x
    x = 80,650,138.50/10,241.16
  6. Step 6: Final answer
    x = 7,875.10

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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.