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Finding the Fourth Proportional to 10,154.68, 15,235.09 and 7,198.83

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Solution

The fourth proportional to 10,154.68, 15,235.09 and 7,198.83 is: 10,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.68 : 15,235.09 = 7,198.83 : x
  2. Step 2: Convert to fraction form
    10,154.68/15,235.09 = 7,198.83/x
  3. Step 3: Cross multiply
    10,154.68x = 15,235.09 × 7,198.83
  4. Step 4: Simplify right side
    10,154.68x = 109,674,804.95
  5. Step 5: Solve for x
    x = 109,674,804.95/10,154.68
  6. Step 6: Final answer
    x = 10,800.42

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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.