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Finding the Fourth Proportional to 10,627.62, 14,666.07 and 5,911.89

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Solution

The fourth proportional to 10,627.62, 14,666.07 and 5,911.89 is: 8,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.62 : 14,666.07 = 5,911.89 : x
  2. Step 2: Convert to fraction form
    10,627.62/14,666.07 = 5,911.89/x
  3. Step 3: Cross multiply
    10,627.62x = 14,666.07 × 5,911.89
  4. Step 4: Simplify right side
    10,627.62x = 86,704,192.57
  5. Step 5: Solve for x
    x = 86,704,192.57/10,627.62
  6. Step 6: Final answer
    x = 8,158.38

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Why These Related Problems?

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