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Finding the Fourth Proportional to 11,288.84, 16,897.80 and 7,758.20

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Solution

The fourth proportional to 11,288.84, 16,897.80 and 7,758.20 is: 11,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.84 : 16,897.80 = 7,758.20 : x
  2. Step 2: Convert to fraction form
    11,288.84/16,897.80 = 7,758.20/x
  3. Step 3: Cross multiply
    11,288.84x = 16,897.80 × 7,758.20
  4. Step 4: Simplify right side
    11,288.84x = 131,096,511.96
  5. Step 5: Solve for x
    x = 131,096,511.96/11,288.84
  6. Step 6: Final answer
    x = 11,612.93

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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.