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Finding the Fourth Proportional to 10,036.44, 15,040.98 and 5,867.64

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Solution

The fourth proportional to 10,036.44, 15,040.98 and 5,867.64 is: 8,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.44 : 15,040.98 = 5,867.64 : x
  2. Step 2: Convert to fraction form
    10,036.44/15,040.98 = 5,867.64/x
  3. Step 3: Cross multiply
    10,036.44x = 15,040.98 × 5,867.64
  4. Step 4: Simplify right side
    10,036.44x = 88,255,055.89
  5. Step 5: Solve for x
    x = 88,255,055.89/10,036.44
  6. Step 6: Final answer
    x = 8,793.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.