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Finding the Fourth Proportional to 7,859.10, 10,842.86 and 4,873.86

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Solution

The fourth proportional to 7,859.10, 10,842.86 and 4,873.86 is: 6,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.10 : 10,842.86 = 4,873.86 : x
  2. Step 2: Convert to fraction form
    7,859.10/10,842.86 = 4,873.86/x
  3. Step 3: Cross multiply
    7,859.10x = 10,842.86 × 4,873.86
  4. Step 4: Simplify right side
    7,859.10x = 52,846,581.64
  5. Step 5: Solve for x
    x = 52,846,581.64/7,859.10
  6. Step 6: Final answer
    x = 6,724.25

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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.