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Finding the Fourth Proportional to 7,856.42, 10,841.34 and 4,499.26

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Solution

The fourth proportional to 7,856.42, 10,841.34 and 4,499.26 is: 6,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.42 : 10,841.34 = 4,499.26 : x
  2. Step 2: Convert to fraction form
    7,856.42/10,841.34 = 4,499.26/x
  3. Step 3: Cross multiply
    7,856.42x = 10,841.34 × 4,499.26
  4. Step 4: Simplify right side
    7,856.42x = 48,778,007.41
  5. Step 5: Solve for x
    x = 48,778,007.41/7,856.42
  6. Step 6: Final answer
    x = 6,208.68

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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.