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Finding the Fourth Proportional to 12,775.64, 19,166.34 and 3,891.77

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Solution

The fourth proportional to 12,775.64, 19,166.34 and 3,891.77 is: 5,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.64 : 19,166.34 = 3,891.77 : x
  2. Step 2: Convert to fraction form
    12,775.64/19,166.34 = 3,891.77/x
  3. Step 3: Cross multiply
    12,775.64x = 19,166.34 × 3,891.77
  4. Step 4: Simplify right side
    12,775.64x = 74,590,891.19
  5. Step 5: Solve for x
    x = 74,590,891.19/12,775.64
  6. Step 6: Final answer
    x = 5,838.53

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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.