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Finding the Fourth Proportional to 6,844.40, 10,270.70 and 4,737.69

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Solution

The fourth proportional to 6,844.40, 10,270.70 and 4,737.69 is: 7,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.40 : 10,270.70 = 4,737.69 : x
  2. Step 2: Convert to fraction form
    6,844.40/10,270.70 = 4,737.69/x
  3. Step 3: Cross multiply
    6,844.40x = 10,270.70 × 4,737.69
  4. Step 4: Simplify right side
    6,844.40x = 48,659,386.76
  5. Step 5: Solve for x
    x = 48,659,386.76/6,844.40
  6. Step 6: Final answer
    x = 7,109.37

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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.