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Finding the Fourth Proportional to 11,444.38, 15,785.08 and 10,503.20

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Solution

The fourth proportional to 11,444.38, 15,785.08 and 10,503.20 is: 14,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.38 : 15,785.08 = 10,503.20 : x
  2. Step 2: Convert to fraction form
    11,444.38/15,785.08 = 10,503.20/x
  3. Step 3: Cross multiply
    11,444.38x = 15,785.08 × 10,503.20
  4. Step 4: Simplify right side
    11,444.38x = 165,793,865.46
  5. Step 5: Solve for x
    x = 165,793,865.46/11,444.38
  6. Step 6: Final answer
    x = 14,486.93

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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.