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Finding the Fourth Proportional to 7,176.66, 9,904.17 and 4,192.08

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Solution

The fourth proportional to 7,176.66, 9,904.17 and 4,192.08 is: 5,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.66 : 9,904.17 = 4,192.08 : x
  2. Step 2: Convert to fraction form
    7,176.66/9,904.17 = 4,192.08/x
  3. Step 3: Cross multiply
    7,176.66x = 9,904.17 × 4,192.08
  4. Step 4: Simplify right side
    7,176.66x = 41,519,072.97
  5. Step 5: Solve for x
    x = 41,519,072.97/7,176.66
  6. Step 6: Final answer
    x = 5,785.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.