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Finding the Fourth Proportional to 7,857.12, 10,842.60 and 5,064.24

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Solution

The fourth proportional to 7,857.12, 10,842.60 and 5,064.24 is: 6,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.12 : 10,842.60 = 5,064.24 : x
  2. Step 2: Convert to fraction form
    7,857.12/10,842.60 = 5,064.24/x
  3. Step 3: Cross multiply
    7,857.12x = 10,842.60 × 5,064.24
  4. Step 4: Simplify right side
    7,857.12x = 54,909,528.62
  5. Step 5: Solve for x
    x = 54,909,528.62/7,857.12
  6. Step 6: Final answer
    x = 6,988.51

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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.