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Finding the Fourth Proportional to 7,914.06, 11,873.82 and 2,985.11

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Solution

The fourth proportional to 7,914.06, 11,873.82 and 2,985.11 is: 4,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.06 : 11,873.82 = 2,985.11 : x
  2. Step 2: Convert to fraction form
    7,914.06/11,873.82 = 2,985.11/x
  3. Step 3: Cross multiply
    7,914.06x = 11,873.82 × 2,985.11
  4. Step 4: Simplify right side
    7,914.06x = 35,444,658.82
  5. Step 5: Solve for x
    x = 35,444,658.82/7,914.06
  6. Step 6: Final answer
    x = 4,478.69

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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.