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Finding the Fourth Proportional to 10,412.95, 14,370.13 and 5,937.13

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Solution

The fourth proportional to 10,412.95, 14,370.13 and 5,937.13 is: 8,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.95 : 14,370.13 = 5,937.13 : x
  2. Step 2: Convert to fraction form
    10,412.95/14,370.13 = 5,937.13/x
  3. Step 3: Cross multiply
    10,412.95x = 14,370.13 × 5,937.13
  4. Step 4: Simplify right side
    10,412.95x = 85,317,228.39
  5. Step 5: Solve for x
    x = 85,317,228.39/10,412.95
  6. Step 6: Final answer
    x = 8,193.38

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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.