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Finding the Fourth Proportional to 10,371.84, 15,546.24 and 4,130.22

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Solution

The fourth proportional to 10,371.84, 15,546.24 and 4,130.22 is: 6,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.84 : 15,546.24 = 4,130.22 : x
  2. Step 2: Convert to fraction form
    10,371.84/15,546.24 = 4,130.22/x
  3. Step 3: Cross multiply
    10,371.84x = 15,546.24 × 4,130.22
  4. Step 4: Simplify right side
    10,371.84x = 64,209,391.37
  5. Step 5: Solve for x
    x = 64,209,391.37/10,371.84
  6. Step 6: Final answer
    x = 6,190.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.