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Finding the Fourth Proportional to 7,609.84, 11,414.77 and 2,415.72

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Solution

The fourth proportional to 7,609.84, 11,414.77 and 2,415.72 is: 3,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.84 : 11,414.77 = 2,415.72 : x
  2. Step 2: Convert to fraction form
    7,609.84/11,414.77 = 2,415.72/x
  3. Step 3: Cross multiply
    7,609.84x = 11,414.77 × 2,415.72
  4. Step 4: Simplify right side
    7,609.84x = 27,574,888.18
  5. Step 5: Solve for x
    x = 27,574,888.18/7,609.84
  6. Step 6: Final answer
    x = 3,623.58

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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.