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Finding the Fourth Proportional to 7,212.70, 10,822.65 and 4,095.10

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Solution

The fourth proportional to 7,212.70, 10,822.65 and 4,095.10 is: 6,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.70 : 10,822.65 = 4,095.10 : x
  2. Step 2: Convert to fraction form
    7,212.70/10,822.65 = 4,095.10/x
  3. Step 3: Cross multiply
    7,212.70x = 10,822.65 × 4,095.10
  4. Step 4: Simplify right side
    7,212.70x = 44,319,834.02
  5. Step 5: Solve for x
    x = 44,319,834.02/7,212.70
  6. Step 6: Final answer
    x = 6,144.69

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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.