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Finding the Fourth Proportional to 7,615.74, 11,423.84 and 2,069.06

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Solution

The fourth proportional to 7,615.74, 11,423.84 and 2,069.06 is: 3,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.74 : 11,423.84 = 2,069.06 : x
  2. Step 2: Convert to fraction form
    7,615.74/11,423.84 = 2,069.06/x
  3. Step 3: Cross multiply
    7,615.74x = 11,423.84 × 2,069.06
  4. Step 4: Simplify right side
    7,615.74x = 23,636,542.93
  5. Step 5: Solve for x
    x = 23,636,542.93/7,615.74
  6. Step 6: Final answer
    x = 3,103.64

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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.