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Finding the Fourth Proportional to 7,857.07, 10,842.84 and 4,320.27

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Solution

The fourth proportional to 7,857.07, 10,842.84 and 4,320.27 is: 5,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.07 : 10,842.84 = 4,320.27 : x
  2. Step 2: Convert to fraction form
    7,857.07/10,842.84 = 4,320.27/x
  3. Step 3: Cross multiply
    7,857.07x = 10,842.84 × 4,320.27
  4. Step 4: Simplify right side
    7,857.07x = 46,843,974.77
  5. Step 5: Solve for x
    x = 46,843,974.77/7,857.07
  6. Step 6: Final answer
    x = 5,962.02

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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.