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Finding the Fourth Proportional to 10,200.54, 15,298.02 and 2,803.24

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Solution

The fourth proportional to 10,200.54, 15,298.02 and 2,803.24 is: 4,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.54 : 15,298.02 = 2,803.24 : x
  2. Step 2: Convert to fraction form
    10,200.54/15,298.02 = 2,803.24/x
  3. Step 3: Cross multiply
    10,200.54x = 15,298.02 × 2,803.24
  4. Step 4: Simplify right side
    10,200.54x = 42,884,021.58
  5. Step 5: Solve for x
    x = 42,884,021.58/10,200.54
  6. Step 6: Final answer
    x = 4,204.09

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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.