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Finding the Fourth Proportional to 7,394.34, 11,089.62 and 2,199

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Solution

The fourth proportional to 7,394.34, 11,089.62 and 2,199 is: 3,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.34 : 11,089.62 = 2,199 : x
  2. Step 2: Convert to fraction form
    7,394.34/11,089.62 = 2,199/x
  3. Step 3: Cross multiply
    7,394.34x = 11,089.62 × 2,199
  4. Step 4: Simplify right side
    7,394.34x = 24,386,074.38
  5. Step 5: Solve for x
    x = 24,386,074.38/7,394.34
  6. Step 6: Final answer
    x = 3,297.94

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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.