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Finding the Fourth Proportional to 10,675.78, 16,002.54 and 5,988.94

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Solution

The fourth proportional to 10,675.78, 16,002.54 and 5,988.94 is: 8,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.78 : 16,002.54 = 5,988.94 : x
  2. Step 2: Convert to fraction form
    10,675.78/16,002.54 = 5,988.94/x
  3. Step 3: Cross multiply
    10,675.78x = 16,002.54 × 5,988.94
  4. Step 4: Simplify right side
    10,675.78x = 95,838,251.91
  5. Step 5: Solve for x
    x = 95,838,251.91/10,675.78
  6. Step 6: Final answer
    x = 8,977.17

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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.