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Finding the Fourth Proportional to 7,857.06, 10,842.92 and 4,320.46

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Solution

The fourth proportional to 7,857.06, 10,842.92 and 4,320.46 is: 5,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.06 : 10,842.92 = 4,320.46 : x
  2. Step 2: Convert to fraction form
    7,857.06/10,842.92 = 4,320.46/x
  3. Step 3: Cross multiply
    7,857.06x = 10,842.92 × 4,320.46
  4. Step 4: Simplify right side
    7,857.06x = 46,846,402.14
  5. Step 5: Solve for x
    x = 46,846,402.14/7,857.06
  6. Step 6: Final answer
    x = 5,962.33

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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.