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Finding the Fourth Proportional to 27,129.58, 40,691.28 and 7,409.74

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Solution

The fourth proportional to 27,129.58, 40,691.28 and 7,409.74 is: 11,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.58 : 40,691.28 = 7,409.74 : x
  2. Step 2: Convert to fraction form
    27,129.58/40,691.28 = 7,409.74/x
  3. Step 3: Cross multiply
    27,129.58x = 40,691.28 × 7,409.74
  4. Step 4: Simplify right side
    27,129.58x = 301,511,805.07
  5. Step 5: Solve for x
    x = 301,511,805.07/27,129.58
  6. Step 6: Final answer
    x = 11,113.77

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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.