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Finding the Fourth Proportional to 7,006.49, 10,509.70 and 2,326.85

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Solution

The fourth proportional to 7,006.49, 10,509.70 and 2,326.85 is: 3,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.49 : 10,509.70 = 2,326.85 : x
  2. Step 2: Convert to fraction form
    7,006.49/10,509.70 = 2,326.85/x
  3. Step 3: Cross multiply
    7,006.49x = 10,509.70 × 2,326.85
  4. Step 4: Simplify right side
    7,006.49x = 24,454,442.90
  5. Step 5: Solve for x
    x = 24,454,442.90/7,006.49
  6. Step 6: Final answer
    x = 3,490.26

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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.