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Finding the Fourth Proportional to 6,858.84, 10,272.06 and 4,780.92

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Solution

The fourth proportional to 6,858.84, 10,272.06 and 4,780.92 is: 7,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.84 : 10,272.06 = 4,780.92 : x
  2. Step 2: Convert to fraction form
    6,858.84/10,272.06 = 4,780.92/x
  3. Step 3: Cross multiply
    6,858.84x = 10,272.06 × 4,780.92
  4. Step 4: Simplify right side
    6,858.84x = 49,109,897.10
  5. Step 5: Solve for x
    x = 49,109,897.10/6,858.84
  6. Step 6: Final answer
    x = 7,160.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.