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Finding the Fourth Proportional to 7,184.78, 9,911.67 and 4,200.74

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Solution

The fourth proportional to 7,184.78, 9,911.67 and 4,200.74 is: 5,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.78 : 9,911.67 = 4,200.74 : x
  2. Step 2: Convert to fraction form
    7,184.78/9,911.67 = 4,200.74/x
  3. Step 3: Cross multiply
    7,184.78x = 9,911.67 × 4,200.74
  4. Step 4: Simplify right side
    7,184.78x = 41,636,348.64
  5. Step 5: Solve for x
    x = 41,636,348.64/7,184.78
  6. Step 6: Final answer
    x = 5,795.08

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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.