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Finding the Fourth Proportional to 10,237.82, 15,347 and 4,001.83

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Solution

The fourth proportional to 10,237.82, 15,347 and 4,001.83 is: 5,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.82 : 15,347 = 4,001.83 : x
  2. Step 2: Convert to fraction form
    10,237.82/15,347 = 4,001.83/x
  3. Step 3: Cross multiply
    10,237.82x = 15,347 × 4,001.83
  4. Step 4: Simplify right side
    10,237.82x = 61,416,085.01
  5. Step 5: Solve for x
    x = 61,416,085.01/10,237.82
  6. Step 6: Final answer
    x = 5,998.94

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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.