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Finding the Fourth Proportional to 10,137.83, 15,200.24 and 4,218.81

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Solution

The fourth proportional to 10,137.83, 15,200.24 and 4,218.81 is: 6,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.83 : 15,200.24 = 4,218.81 : x
  2. Step 2: Convert to fraction form
    10,137.83/15,200.24 = 4,218.81/x
  3. Step 3: Cross multiply
    10,137.83x = 15,200.24 × 4,218.81
  4. Step 4: Simplify right side
    10,137.83x = 64,126,903.42
  5. Step 5: Solve for x
    x = 64,126,903.42/10,137.83
  6. Step 6: Final answer
    x = 6,325.51

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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.