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Finding the Fourth Proportional to 7,029.65, 10,545.83 and 2,099.18

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Solution

The fourth proportional to 7,029.65, 10,545.83 and 2,099.18 is: 3,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.65 : 10,545.83 = 2,099.18 : x
  2. Step 2: Convert to fraction form
    7,029.65/10,545.83 = 2,099.18/x
  3. Step 3: Cross multiply
    7,029.65x = 10,545.83 × 2,099.18
  4. Step 4: Simplify right side
    7,029.65x = 22,137,532.19
  5. Step 5: Solve for x
    x = 22,137,532.19/7,029.65
  6. Step 6: Final answer
    x = 3,149.17

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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.