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Finding the Fourth Proportional to 10,036.86, 15,040.86 and 5,645.04

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Solution

The fourth proportional to 10,036.86, 15,040.86 and 5,645.04 is: 8,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.86 : 15,040.86 = 5,645.04 : x
  2. Step 2: Convert to fraction form
    10,036.86/15,040.86 = 5,645.04/x
  3. Step 3: Cross multiply
    10,036.86x = 15,040.86 × 5,645.04
  4. Step 4: Simplify right side
    10,036.86x = 84,906,256.33
  5. Step 5: Solve for x
    x = 84,906,256.33/10,036.86
  6. Step 6: Final answer
    x = 8,459.44

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