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Finding the Fourth Proportional to 10,516.21, 15,737.92 and 6,511.93

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Solution

The fourth proportional to 10,516.21, 15,737.92 and 6,511.93 is: 9,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.21 : 15,737.92 = 6,511.93 : x
  2. Step 2: Convert to fraction form
    10,516.21/15,737.92 = 6,511.93/x
  3. Step 3: Cross multiply
    10,516.21x = 15,737.92 × 6,511.93
  4. Step 4: Simplify right side
    10,516.21x = 102,484,177.76
  5. Step 5: Solve for x
    x = 102,484,177.76/10,516.21
  6. Step 6: Final answer
    x = 9,745.36

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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.