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Finding the Fourth Proportional to 10,598.02, 15,898.70 and 3,201.56

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Solution

The fourth proportional to 10,598.02, 15,898.70 and 3,201.56 is: 4,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.02 : 15,898.70 = 3,201.56 : x
  2. Step 2: Convert to fraction form
    10,598.02/15,898.70 = 3,201.56/x
  3. Step 3: Cross multiply
    10,598.02x = 15,898.70 × 3,201.56
  4. Step 4: Simplify right side
    10,598.02x = 50,900,641.97
  5. Step 5: Solve for x
    x = 50,900,641.97/10,598.02
  6. Step 6: Final answer
    x = 4,802.84

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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.