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Finding the Fourth Proportional to 10,137.34, 13,988.73 and 5,660.74

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Solution

The fourth proportional to 10,137.34, 13,988.73 and 5,660.74 is: 7,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.34 : 13,988.73 = 5,660.74 : x
  2. Step 2: Convert to fraction form
    10,137.34/13,988.73 = 5,660.74/x
  3. Step 3: Cross multiply
    10,137.34x = 13,988.73 × 5,660.74
  4. Step 4: Simplify right side
    10,137.34x = 79,186,563.46
  5. Step 5: Solve for x
    x = 79,186,563.46/10,137.34
  6. Step 6: Final answer
    x = 7,811.37

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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.