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Finding the Fourth Proportional to 43,694, 65,541.24 and 10,862

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Solution

The fourth proportional to 43,694, 65,541.24 and 10,862 is: 16,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,694 : 65,541.24 = 10,862 : x
  2. Step 2: Convert to fraction form
    43,694/65,541.24 = 10,862/x
  3. Step 3: Cross multiply
    43,694x = 65,541.24 × 10,862
  4. Step 4: Simplify right side
    43,694x = 711,908,948.88
  5. Step 5: Solve for x
    x = 711,908,948.88/43,694
  6. Step 6: Final answer
    x = 16,293.06

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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.