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Finding the Fourth Proportional to 7,852.04, 11,778.10 and 2,008.65

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Solution

The fourth proportional to 7,852.04, 11,778.10 and 2,008.65 is: 3,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.04 : 11,778.10 = 2,008.65 : x
  2. Step 2: Convert to fraction form
    7,852.04/11,778.10 = 2,008.65/x
  3. Step 3: Cross multiply
    7,852.04x = 11,778.10 × 2,008.65
  4. Step 4: Simplify right side
    7,852.04x = 23,658,080.57
  5. Step 5: Solve for x
    x = 23,658,080.57/7,852.04
  6. Step 6: Final answer
    x = 3,012.99

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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.