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Finding the Fourth Proportional to 8,672.11, 11,966.64 and 4,894.93

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Solution

The fourth proportional to 8,672.11, 11,966.64 and 4,894.93 is: 6,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.11 : 11,966.64 = 4,894.93 : x
  2. Step 2: Convert to fraction form
    8,672.11/11,966.64 = 4,894.93/x
  3. Step 3: Cross multiply
    8,672.11x = 11,966.64 × 4,894.93
  4. Step 4: Simplify right side
    8,672.11x = 58,575,865.14
  5. Step 5: Solve for x
    x = 58,575,865.14/8,672.11
  6. Step 6: Final answer
    x = 6,754.51

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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.