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Finding the Fourth Proportional to 10,137.84, 13,990.08 and 5,661.66

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Solution

The fourth proportional to 10,137.84, 13,990.08 and 5,661.66 is: 7,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.84 : 13,990.08 = 5,661.66 : x
  2. Step 2: Convert to fraction form
    10,137.84/13,990.08 = 5,661.66/x
  3. Step 3: Cross multiply
    10,137.84x = 13,990.08 × 5,661.66
  4. Step 4: Simplify right side
    10,137.84x = 79,207,076.33
  5. Step 5: Solve for x
    x = 79,207,076.33/10,137.84
  6. Step 6: Final answer
    x = 7,813.01

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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.