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Finding the Fourth Proportional to 10,138.29, 13,990.02 and 5,661.77

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Solution

The fourth proportional to 10,138.29, 13,990.02 and 5,661.77 is: 7,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.29 : 13,990.02 = 5,661.77 : x
  2. Step 2: Convert to fraction form
    10,138.29/13,990.02 = 5,661.77/x
  3. Step 3: Cross multiply
    10,138.29x = 13,990.02 × 5,661.77
  4. Step 4: Simplify right side
    10,138.29x = 79,208,275.54
  5. Step 5: Solve for x
    x = 79,208,275.54/10,138.29
  6. Step 6: Final answer
    x = 7,812.78

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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.