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Finding the Fourth Proportional to 7,205.94, 10,809.52 and 2,011.82

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Solution

The fourth proportional to 7,205.94, 10,809.52 and 2,011.82 is: 3,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.94 : 10,809.52 = 2,011.82 : x
  2. Step 2: Convert to fraction form
    7,205.94/10,809.52 = 2,011.82/x
  3. Step 3: Cross multiply
    7,205.94x = 10,809.52 × 2,011.82
  4. Step 4: Simplify right side
    7,205.94x = 21,746,808.53
  5. Step 5: Solve for x
    x = 21,746,808.53/7,205.94
  6. Step 6: Final answer
    x = 3,017.90

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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.