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Finding the Fourth Proportional to 27,186.07, 40,774.49 and 7,460.02

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Solution

The fourth proportional to 27,186.07, 40,774.49 and 7,460.02 is: 11,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.07 : 40,774.49 = 7,460.02 : x
  2. Step 2: Convert to fraction form
    27,186.07/40,774.49 = 7,460.02/x
  3. Step 3: Cross multiply
    27,186.07x = 40,774.49 × 7,460.02
  4. Step 4: Simplify right side
    27,186.07x = 304,178,269.72
  5. Step 5: Solve for x
    x = 304,178,269.72/27,186.07
  6. Step 6: Final answer
    x = 11,188.76

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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.