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Finding the Fourth Proportional to 11,045.52, 15,242.22 and 6,009.60

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Solution

The fourth proportional to 11,045.52, 15,242.22 and 6,009.60 is: 8,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,045.52 : 15,242.22 = 6,009.60 : x
  2. Step 2: Convert to fraction form
    11,045.52/15,242.22 = 6,009.60/x
  3. Step 3: Cross multiply
    11,045.52x = 15,242.22 × 6,009.60
  4. Step 4: Simplify right side
    11,045.52x = 91,599,645.31
  5. Step 5: Solve for x
    x = 91,599,645.31/11,045.52
  6. Step 6: Final answer
    x = 8,292.92

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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.