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Finding the Fourth Proportional to 11,981.21, 16,537.01 and 7,737

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Solution

The fourth proportional to 11,981.21, 16,537.01 and 7,737 is: 10,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.21 : 16,537.01 = 7,737 : x
  2. Step 2: Convert to fraction form
    11,981.21/16,537.01 = 7,737/x
  3. Step 3: Cross multiply
    11,981.21x = 16,537.01 × 7,737
  4. Step 4: Simplify right side
    11,981.21x = 127,946,807.69
  5. Step 5: Solve for x
    x = 127,946,807.69/11,981.21
  6. Step 6: Final answer
    x = 10,678.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.