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Finding the Fourth Proportional to 7,882.52, 11,830.66 and 3,205.07

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Solution

The fourth proportional to 7,882.52, 11,830.66 and 3,205.07 is: 4,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.52 : 11,830.66 = 3,205.07 : x
  2. Step 2: Convert to fraction form
    7,882.52/11,830.66 = 3,205.07/x
  3. Step 3: Cross multiply
    7,882.52x = 11,830.66 × 3,205.07
  4. Step 4: Simplify right side
    7,882.52x = 37,918,070.65
  5. Step 5: Solve for x
    x = 37,918,070.65/7,882.52
  6. Step 6: Final answer
    x = 4,810.40

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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.