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Finding the Fourth Proportional to 11,390.39, 15,718.76 and 6,354.48

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Solution

The fourth proportional to 11,390.39, 15,718.76 and 6,354.48 is: 8,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.39 : 15,718.76 = 6,354.48 : x
  2. Step 2: Convert to fraction form
    11,390.39/15,718.76 = 6,354.48/x
  3. Step 3: Cross multiply
    11,390.39x = 15,718.76 × 6,354.48
  4. Step 4: Simplify right side
    11,390.39x = 99,884,514.27
  5. Step 5: Solve for x
    x = 99,884,514.27/11,390.39
  6. Step 6: Final answer
    x = 8,769.20

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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.