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Finding the Fourth Proportional to 10,137.54, 13,988.99 and 5,661.02

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Solution

The fourth proportional to 10,137.54, 13,988.99 and 5,661.02 is: 7,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.54 : 13,988.99 = 5,661.02 : x
  2. Step 2: Convert to fraction form
    10,137.54/13,988.99 = 5,661.02/x
  3. Step 3: Cross multiply
    10,137.54x = 13,988.99 × 5,661.02
  4. Step 4: Simplify right side
    10,137.54x = 79,191,952.17
  5. Step 5: Solve for x
    x = 79,191,952.17/10,137.54
  6. Step 6: Final answer
    x = 7,811.76

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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.