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Finding the Fourth Proportional to 11,445.39, 15,793.53 and 6,409.22

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Solution

The fourth proportional to 11,445.39, 15,793.53 and 6,409.22 is: 8,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.39 : 15,793.53 = 6,409.22 : x
  2. Step 2: Convert to fraction form
    11,445.39/15,793.53 = 6,409.22/x
  3. Step 3: Cross multiply
    11,445.39x = 15,793.53 × 6,409.22
  4. Step 4: Simplify right side
    11,445.39x = 101,224,129.38
  5. Step 5: Solve for x
    x = 101,224,129.38/11,445.39
  6. Step 6: Final answer
    x = 8,844.10

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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.