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Finding the Fourth Proportional to 7,857.02, 10,842.73 and 4,713.21

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Solution

The fourth proportional to 7,857.02, 10,842.73 and 4,713.21 is: 6,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.02 : 10,842.73 = 4,713.21 : x
  2. Step 2: Convert to fraction form
    7,857.02/10,842.73 = 4,713.21/x
  3. Step 3: Cross multiply
    7,857.02x = 10,842.73 × 4,713.21
  4. Step 4: Simplify right side
    7,857.02x = 51,104,051.68
  5. Step 5: Solve for x
    x = 51,104,051.68/7,857.02
  6. Step 6: Final answer
    x = 6,504.25

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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.