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Finding the Fourth Proportional to 8,592.02, 11,857.01 and 4,866.02

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Solution

The fourth proportional to 8,592.02, 11,857.01 and 4,866.02 is: 6,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.02 : 11,857.01 = 4,866.02 : x
  2. Step 2: Convert to fraction form
    8,592.02/11,857.01 = 4,866.02/x
  3. Step 3: Cross multiply
    8,592.02x = 11,857.01 × 4,866.02
  4. Step 4: Simplify right side
    8,592.02x = 57,696,447.80
  5. Step 5: Solve for x
    x = 57,696,447.80/8,592.02
  6. Step 6: Final answer
    x = 6,715.12

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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.