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Finding the Fourth Proportional to 7,521.96, 11,283.71 and 3,078.71

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Solution

The fourth proportional to 7,521.96, 11,283.71 and 3,078.71 is: 4,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.96 : 11,283.71 = 3,078.71 : x
  2. Step 2: Convert to fraction form
    7,521.96/11,283.71 = 3,078.71/x
  3. Step 3: Cross multiply
    7,521.96x = 11,283.71 × 3,078.71
  4. Step 4: Simplify right side
    7,521.96x = 34,739,241.32
  5. Step 5: Solve for x
    x = 34,739,241.32/7,521.96
  6. Step 6: Final answer
    x = 4,618.37

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