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Finding the Fourth Proportional to 7,609.16, 11,415.56 and 2,415.04

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Solution

The fourth proportional to 7,609.16, 11,415.56 and 2,415.04 is: 3,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.16 : 11,415.56 = 2,415.04 : x
  2. Step 2: Convert to fraction form
    7,609.16/11,415.56 = 2,415.04/x
  3. Step 3: Cross multiply
    7,609.16x = 11,415.56 × 2,415.04
  4. Step 4: Simplify right side
    7,609.16x = 27,569,034.02
  5. Step 5: Solve for x
    x = 27,569,034.02/7,609.16
  6. Step 6: Final answer
    x = 3,623.14

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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.