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Finding the Fourth Proportional to 27,135.88, 40,698.30 and 7,412.78

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Solution

The fourth proportional to 27,135.88, 40,698.30 and 7,412.78 is: 11,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.88 : 40,698.30 = 7,412.78 : x
  2. Step 2: Convert to fraction form
    27,135.88/40,698.30 = 7,412.78/x
  3. Step 3: Cross multiply
    27,135.88x = 40,698.30 × 7,412.78
  4. Step 4: Simplify right side
    27,135.88x = 301,687,544.27
  5. Step 5: Solve for x
    x = 301,687,544.27/27,135.88
  6. Step 6: Final answer
    x = 11,117.66

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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.