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Finding the Fourth Proportional to 27,287.16, 40,930.74 and 7,565.72

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Solution

The fourth proportional to 27,287.16, 40,930.74 and 7,565.72 is: 11,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.16 : 40,930.74 = 7,565.72 : x
  2. Step 2: Convert to fraction form
    27,287.16/40,930.74 = 7,565.72/x
  3. Step 3: Cross multiply
    27,287.16x = 40,930.74 × 7,565.72
  4. Step 4: Simplify right side
    27,287.16x = 309,670,434.82
  5. Step 5: Solve for x
    x = 309,670,434.82/27,287.16
  6. Step 6: Final answer
    x = 11,348.58

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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.