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Finding the Fourth Proportional to 10,591.02, 15,889.77 and 6,199.20

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Solution

The fourth proportional to 10,591.02, 15,889.77 and 6,199.20 is: 9,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.02 : 15,889.77 = 6,199.20 : x
  2. Step 2: Convert to fraction form
    10,591.02/15,889.77 = 6,199.20/x
  3. Step 3: Cross multiply
    10,591.02x = 15,889.77 × 6,199.20
  4. Step 4: Simplify right side
    10,591.02x = 98,503,862.18
  5. Step 5: Solve for x
    x = 98,503,862.18/10,591.02
  6. Step 6: Final answer
    x = 9,300.70

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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.