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Finding the Fourth Proportional to 11,044.81, 15,236.03 and 6,565.38

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Solution

The fourth proportional to 11,044.81, 15,236.03 and 6,565.38 is: 9,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,044.81 : 15,236.03 = 6,565.38 : x
  2. Step 2: Convert to fraction form
    11,044.81/15,236.03 = 6,565.38/x
  3. Step 3: Cross multiply
    11,044.81x = 15,236.03 × 6,565.38
  4. Step 4: Simplify right side
    11,044.81x = 100,030,326.64
  5. Step 5: Solve for x
    x = 100,030,326.64/11,044.81
  6. Step 6: Final answer
    x = 9,056.77

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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.