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Finding the Fourth Proportional to 7,856.99, 10,842.62 and 4,672.47

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Solution

The fourth proportional to 7,856.99, 10,842.62 and 4,672.47 is: 6,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.99 : 10,842.62 = 4,672.47 : x
  2. Step 2: Convert to fraction form
    7,856.99/10,842.62 = 4,672.47/x
  3. Step 3: Cross multiply
    7,856.99x = 10,842.62 × 4,672.47
  4. Step 4: Simplify right side
    7,856.99x = 50,661,793.31
  5. Step 5: Solve for x
    x = 50,661,793.31/7,856.99
  6. Step 6: Final answer
    x = 6,447.99

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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.