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Finding the Fourth Proportional to 7,857.06, 10,842.92 and 4,500.19

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Solution

The fourth proportional to 7,857.06, 10,842.92 and 4,500.19 is: 6,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.06 : 10,842.92 = 4,500.19 : x
  2. Step 2: Convert to fraction form
    7,857.06/10,842.92 = 4,500.19/x
  3. Step 3: Cross multiply
    7,857.06x = 10,842.92 × 4,500.19
  4. Step 4: Simplify right side
    7,857.06x = 48,795,200.15
  5. Step 5: Solve for x
    x = 48,795,200.15/7,857.06
  6. Step 6: Final answer
    x = 6,210.36

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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.