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Finding the Fourth Proportional to 10,363.86, 15,548.22 and 2,968.11

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Solution

The fourth proportional to 10,363.86, 15,548.22 and 2,968.11 is: 4,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.86 : 15,548.22 = 2,968.11 : x
  2. Step 2: Convert to fraction form
    10,363.86/15,548.22 = 2,968.11/x
  3. Step 3: Cross multiply
    10,363.86x = 15,548.22 × 2,968.11
  4. Step 4: Simplify right side
    10,363.86x = 46,148,827.26
  5. Step 5: Solve for x
    x = 46,148,827.26/10,363.86
  6. Step 6: Final answer
    x = 4,452.86

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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.