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Finding the Fourth Proportional to 7,005.25, 10,507.88 and 1,811.13

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Solution

The fourth proportional to 7,005.25, 10,507.88 and 1,811.13 is: 2,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.25 : 10,507.88 = 1,811.13 : x
  2. Step 2: Convert to fraction form
    7,005.25/10,507.88 = 1,811.13/x
  3. Step 3: Cross multiply
    7,005.25x = 10,507.88 × 1,811.13
  4. Step 4: Simplify right side
    7,005.25x = 19,031,136.70
  5. Step 5: Solve for x
    x = 19,031,136.70/7,005.25
  6. Step 6: Final answer
    x = 2,716.70

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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.