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Finding the Fourth Proportional to 11,420.13, 15,760.38 and 6,943.15

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Solution

The fourth proportional to 11,420.13, 15,760.38 and 6,943.15 is: 9,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.13 : 15,760.38 = 6,943.15 : x
  2. Step 2: Convert to fraction form
    11,420.13/15,760.38 = 6,943.15/x
  3. Step 3: Cross multiply
    11,420.13x = 15,760.38 × 6,943.15
  4. Step 4: Simplify right side
    11,420.13x = 109,426,682.40
  5. Step 5: Solve for x
    x = 109,426,682.40/11,420.13
  6. Step 6: Final answer
    x = 9,581.91

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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.