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Finding the Fourth Proportional to 27,097.93, 40,642.79 and 7,378.04

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Solution

The fourth proportional to 27,097.93, 40,642.79 and 7,378.04 is: 11,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.93 : 40,642.79 = 7,378.04 : x
  2. Step 2: Convert to fraction form
    27,097.93/40,642.79 = 7,378.04/x
  3. Step 3: Cross multiply
    27,097.93x = 40,642.79 × 7,378.04
  4. Step 4: Simplify right side
    27,097.93x = 299,864,010.28
  5. Step 5: Solve for x
    x = 299,864,010.28/27,097.93
  6. Step 6: Final answer
    x = 11,065.94

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Why These Related Problems?

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