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Finding the Fourth Proportional to 7,007.58, 10,511.32 and 2,077.24

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Solution

The fourth proportional to 7,007.58, 10,511.32 and 2,077.24 is: 3,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.58 : 10,511.32 = 2,077.24 : x
  2. Step 2: Convert to fraction form
    7,007.58/10,511.32 = 2,077.24/x
  3. Step 3: Cross multiply
    7,007.58x = 10,511.32 × 2,077.24
  4. Step 4: Simplify right side
    7,007.58x = 21,834,534.36
  5. Step 5: Solve for x
    x = 21,834,534.36/7,007.58
  6. Step 6: Final answer
    x = 3,115.85

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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.