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Finding the Fourth Proportional to 7,463.16, 11,196.09 and 3,078.23

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Solution

The fourth proportional to 7,463.16, 11,196.09 and 3,078.23 is: 4,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.16 : 11,196.09 = 3,078.23 : x
  2. Step 2: Convert to fraction form
    7,463.16/11,196.09 = 3,078.23/x
  3. Step 3: Cross multiply
    7,463.16x = 11,196.09 × 3,078.23
  4. Step 4: Simplify right side
    7,463.16x = 34,464,084.14
  5. Step 5: Solve for x
    x = 34,464,084.14/7,463.16
  6. Step 6: Final answer
    x = 4,617.89

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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.