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Finding the Fourth Proportional to 11,557.83, 15,944.66 and 6,839.38

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Solution

The fourth proportional to 11,557.83, 15,944.66 and 6,839.38 is: 9,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.83 : 15,944.66 = 6,839.38 : x
  2. Step 2: Convert to fraction form
    11,557.83/15,944.66 = 6,839.38/x
  3. Step 3: Cross multiply
    11,557.83x = 15,944.66 × 6,839.38
  4. Step 4: Simplify right side
    11,557.83x = 109,051,588.71
  5. Step 5: Solve for x
    x = 109,051,588.71/11,557.83
  6. Step 6: Final answer
    x = 9,435.30

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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.