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Finding the Fourth Proportional to 8,537.84, 11,780.96 and 4,952.64

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Solution

The fourth proportional to 8,537.84, 11,780.96 and 4,952.64 is: 6,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.84 : 11,780.96 = 4,952.64 : x
  2. Step 2: Convert to fraction form
    8,537.84/11,780.96 = 4,952.64/x
  3. Step 3: Cross multiply
    8,537.84x = 11,780.96 × 4,952.64
  4. Step 4: Simplify right side
    8,537.84x = 58,346,828.97
  5. Step 5: Solve for x
    x = 58,346,828.97/8,537.84
  6. Step 6: Final answer
    x = 6,833.91

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