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Finding the Fourth Proportional to 10,597.51, 15,898.83 and 3,201.54

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Solution

The fourth proportional to 10,597.51, 15,898.83 and 3,201.54 is: 4,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.51 : 15,898.83 = 3,201.54 : x
  2. Step 2: Convert to fraction form
    10,597.51/15,898.83 = 3,201.54/x
  3. Step 3: Cross multiply
    10,597.51x = 15,898.83 × 3,201.54
  4. Step 4: Simplify right side
    10,597.51x = 50,900,740.20
  5. Step 5: Solve for x
    x = 50,900,740.20/10,597.51
  6. Step 6: Final answer
    x = 4,803.08

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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.