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Finding the Fourth Proportional to 7,016.72, 9,678.74 and 4,182.18

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Solution

The fourth proportional to 7,016.72, 9,678.74 and 4,182.18 is: 5,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.72 : 9,678.74 = 4,182.18 : x
  2. Step 2: Convert to fraction form
    7,016.72/9,678.74 = 4,182.18/x
  3. Step 3: Cross multiply
    7,016.72x = 9,678.74 × 4,182.18
  4. Step 4: Simplify right side
    7,016.72x = 40,478,211.94
  5. Step 5: Solve for x
    x = 40,478,211.94/7,016.72
  6. Step 6: Final answer
    x = 5,768.83

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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.