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Finding the Fourth Proportional to 7,868.40, 11,802.56 and 2,936.76

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Solution

The fourth proportional to 7,868.40, 11,802.56 and 2,936.76 is: 4,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.40 : 11,802.56 = 2,936.76 : x
  2. Step 2: Convert to fraction form
    7,868.40/11,802.56 = 2,936.76/x
  3. Step 3: Cross multiply
    7,868.40x = 11,802.56 × 2,936.76
  4. Step 4: Simplify right side
    7,868.40x = 34,661,286.11
  5. Step 5: Solve for x
    x = 34,661,286.11/7,868.40
  6. Step 6: Final answer
    x = 4,405.13

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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.