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Finding the Fourth Proportional to 10,009.84, 15,011.97 and 3,433.81

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Solution

The fourth proportional to 10,009.84, 15,011.97 and 3,433.81 is: 5,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.84 : 15,011.97 = 3,433.81 : x
  2. Step 2: Convert to fraction form
    10,009.84/15,011.97 = 3,433.81/x
  3. Step 3: Cross multiply
    10,009.84x = 15,011.97 × 3,433.81
  4. Step 4: Simplify right side
    10,009.84x = 51,548,252.71
  5. Step 5: Solve for x
    x = 51,548,252.71/10,009.84
  6. Step 6: Final answer
    x = 5,149.76

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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.