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Finding the Fourth Proportional to 7,006.44, 10,509.42 and 2,846.34

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Solution

The fourth proportional to 7,006.44, 10,509.42 and 2,846.34 is: 4,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.44 : 10,509.42 = 2,846.34 : x
  2. Step 2: Convert to fraction form
    7,006.44/10,509.42 = 2,846.34/x
  3. Step 3: Cross multiply
    7,006.44x = 10,509.42 × 2,846.34
  4. Step 4: Simplify right side
    7,006.44x = 29,913,382.52
  5. Step 5: Solve for x
    x = 29,913,382.52/7,006.44
  6. Step 6: Final answer
    x = 4,269.41

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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.