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Finding the Fourth Proportional to 8,475.57, 11,696.98 and 4,699.92

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Solution

The fourth proportional to 8,475.57, 11,696.98 and 4,699.92 is: 6,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.57 : 11,696.98 = 4,699.92 : x
  2. Step 2: Convert to fraction form
    8,475.57/11,696.98 = 4,699.92/x
  3. Step 3: Cross multiply
    8,475.57x = 11,696.98 × 4,699.92
  4. Step 4: Simplify right side
    8,475.57x = 54,974,874.61
  5. Step 5: Solve for x
    x = 54,974,874.61/8,475.57
  6. Step 6: Final answer
    x = 6,486.27

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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.