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Finding the Fourth Proportional to 10,721.35, 16,099.71 and 7,233.76

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Solution

The fourth proportional to 10,721.35, 16,099.71 and 7,233.76 is: 10,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.35 : 16,099.71 = 7,233.76 : x
  2. Step 2: Convert to fraction form
    10,721.35/16,099.71 = 7,233.76/x
  3. Step 3: Cross multiply
    10,721.35x = 16,099.71 × 7,233.76
  4. Step 4: Simplify right side
    10,721.35x = 116,461,438.21
  5. Step 5: Solve for x
    x = 116,461,438.21/10,721.35
  6. Step 6: Final answer
    x = 10,862.57

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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.