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Finding the Fourth Proportional to 11,868.84, 16,379.10 and 7,152.12

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Solution

The fourth proportional to 11,868.84, 16,379.10 and 7,152.12 is: 9,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.84 : 16,379.10 = 7,152.12 : x
  2. Step 2: Convert to fraction form
    11,868.84/16,379.10 = 7,152.12/x
  3. Step 3: Cross multiply
    11,868.84x = 16,379.10 × 7,152.12
  4. Step 4: Simplify right side
    11,868.84x = 117,145,288.69
  5. Step 5: Solve for x
    x = 117,145,288.69/11,868.84
  6. Step 6: Final answer
    x = 9,869.99

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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.