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Finding the Fourth Proportional to 7,852.16, 11,776.98 and 2,008.46

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Solution

The fourth proportional to 7,852.16, 11,776.98 and 2,008.46 is: 3,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.16 : 11,776.98 = 2,008.46 : x
  2. Step 2: Convert to fraction form
    7,852.16/11,776.98 = 2,008.46/x
  3. Step 3: Cross multiply
    7,852.16x = 11,776.98 × 2,008.46
  4. Step 4: Simplify right side
    7,852.16x = 23,653,593.25
  5. Step 5: Solve for x
    x = 23,653,593.25/7,852.16
  6. Step 6: Final answer
    x = 3,012.37

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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.