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Finding the Fourth Proportional to 10,010.39, 13,813.13 and 5,533.52

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Solution

The fourth proportional to 10,010.39, 13,813.13 and 5,533.52 is: 7,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.39 : 13,813.13 = 5,533.52 : x
  2. Step 2: Convert to fraction form
    10,010.39/13,813.13 = 5,533.52/x
  3. Step 3: Cross multiply
    10,010.39x = 13,813.13 × 5,533.52
  4. Step 4: Simplify right side
    10,010.39x = 76,435,134.38
  5. Step 5: Solve for x
    x = 76,435,134.38/10,010.39
  6. Step 6: Final answer
    x = 7,635.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.