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Finding the Fourth Proportional to 7,007.57, 10,511.36 and 2,077.28

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Solution

The fourth proportional to 7,007.57, 10,511.36 and 2,077.28 is: 3,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.57 : 10,511.36 = 2,077.28 : x
  2. Step 2: Convert to fraction form
    7,007.57/10,511.36 = 2,077.28/x
  3. Step 3: Cross multiply
    7,007.57x = 10,511.36 × 2,077.28
  4. Step 4: Simplify right side
    7,007.57x = 21,835,037.90
  5. Step 5: Solve for x
    x = 21,835,037.90/7,007.57
  6. Step 6: Final answer
    x = 3,115.92

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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.