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Finding the Fourth Proportional to 7,857.27, 10,842.80 and 5,023.35

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Solution

The fourth proportional to 7,857.27, 10,842.80 and 5,023.35 is: 6,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.27 : 10,842.80 = 5,023.35 : x
  2. Step 2: Convert to fraction form
    7,857.27/10,842.80 = 5,023.35/x
  3. Step 3: Cross multiply
    7,857.27x = 10,842.80 × 5,023.35
  4. Step 4: Simplify right side
    7,857.27x = 54,467,154.26
  5. Step 5: Solve for x
    x = 54,467,154.26/7,857.27
  6. Step 6: Final answer
    x = 6,932.07

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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.