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Finding the Fourth Proportional to 10,357.34, 15,533.83 and 3,337.98

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Solution

The fourth proportional to 10,357.34, 15,533.83 and 3,337.98 is: 5,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.34 : 15,533.83 = 3,337.98 : x
  2. Step 2: Convert to fraction form
    10,357.34/15,533.83 = 3,337.98/x
  3. Step 3: Cross multiply
    10,357.34x = 15,533.83 × 3,337.98
  4. Step 4: Simplify right side
    10,357.34x = 51,851,605.52
  5. Step 5: Solve for x
    x = 51,851,605.52/10,357.34
  6. Step 6: Final answer
    x = 5,006.27

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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.