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Finding the Fourth Proportional to 7,837.70, 10,816.30 and 4,434.48

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Solution

The fourth proportional to 7,837.70, 10,816.30 and 4,434.48 is: 6,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.70 : 10,816.30 = 4,434.48 : x
  2. Step 2: Convert to fraction form
    7,837.70/10,816.30 = 4,434.48/x
  3. Step 3: Cross multiply
    7,837.70x = 10,816.30 × 4,434.48
  4. Step 4: Simplify right side
    7,837.70x = 47,964,671.57
  5. Step 5: Solve for x
    x = 47,964,671.57/7,837.70
  6. Step 6: Final answer
    x = 6,119.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.