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Finding the Fourth Proportional to 10,005.84, 15,005.97 and 3,429.81

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Solution

The fourth proportional to 10,005.84, 15,005.97 and 3,429.81 is: 5,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.84 : 15,005.97 = 3,429.81 : x
  2. Step 2: Convert to fraction form
    10,005.84/15,005.97 = 3,429.81/x
  3. Step 3: Cross multiply
    10,005.84x = 15,005.97 × 3,429.81
  4. Step 4: Simplify right side
    10,005.84x = 51,467,625.97
  5. Step 5: Solve for x
    x = 51,467,625.97/10,005.84
  6. Step 6: Final answer
    x = 5,143.76

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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.