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Finding the Fourth Proportional to 10,357.46, 15,534.02 and 3,338.11

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Solution

The fourth proportional to 10,357.46, 15,534.02 and 3,338.11 is: 5,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.46 : 15,534.02 = 3,338.11 : x
  2. Step 2: Convert to fraction form
    10,357.46/15,534.02 = 3,338.11/x
  3. Step 3: Cross multiply
    10,357.46x = 15,534.02 × 3,338.11
  4. Step 4: Simplify right side
    10,357.46x = 51,854,173.14
  5. Step 5: Solve for x
    x = 51,854,173.14/10,357.46
  6. Step 6: Final answer
    x = 5,006.46

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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.