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Finding the Fourth Proportional to 10,988.82, 16,455 and 6,052.94

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Solution

The fourth proportional to 10,988.82, 16,455 and 6,052.94 is: 9,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.82 : 16,455 = 6,052.94 : x
  2. Step 2: Convert to fraction form
    10,988.82/16,455 = 6,052.94/x
  3. Step 3: Cross multiply
    10,988.82x = 16,455 × 6,052.94
  4. Step 4: Simplify right side
    10,988.82x = 99,601,127.70
  5. Step 5: Solve for x
    x = 99,601,127.70/10,988.82
  6. Step 6: Final answer
    x = 9,063.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.