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Finding the Fourth Proportional to 7,006, 10,509.32 and 2,326.44

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Solution

The fourth proportional to 7,006, 10,509.32 and 2,326.44 is: 3,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006 : 10,509.32 = 2,326.44 : x
  2. Step 2: Convert to fraction form
    7,006/10,509.32 = 2,326.44/x
  3. Step 3: Cross multiply
    7,006x = 10,509.32 × 2,326.44
  4. Step 4: Simplify right side
    7,006x = 24,449,302.42
  5. Step 5: Solve for x
    x = 24,449,302.42/7,006
  6. Step 6: Final answer
    x = 3,489.77

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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.