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Finding the Fourth Proportional to 7,076.69, 10,615.05 and 1,882.57

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Solution

The fourth proportional to 7,076.69, 10,615.05 and 1,882.57 is: 2,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.69 : 10,615.05 = 1,882.57 : x
  2. Step 2: Convert to fraction form
    7,076.69/10,615.05 = 1,882.57/x
  3. Step 3: Cross multiply
    7,076.69x = 10,615.05 × 1,882.57
  4. Step 4: Simplify right side
    7,076.69x = 19,983,521.60
  5. Step 5: Solve for x
    x = 19,983,521.60/7,076.69
  6. Step 6: Final answer
    x = 2,823.85

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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.