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Finding the Fourth Proportional to 7,006.77, 10,511.67 and 2,076.78

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Solution

The fourth proportional to 7,006.77, 10,511.67 and 2,076.78 is: 3,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.77 : 10,511.67 = 2,076.78 : x
  2. Step 2: Convert to fraction form
    7,006.77/10,511.67 = 2,076.78/x
  3. Step 3: Cross multiply
    7,006.77x = 10,511.67 × 2,076.78
  4. Step 4: Simplify right side
    7,006.77x = 21,830,426.02
  5. Step 5: Solve for x
    x = 21,830,426.02/7,006.77
  6. Step 6: Final answer
    x = 3,115.62

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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.