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Finding the Fourth Proportional to 7,841.52, 10,826.46 and 4,861.74

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Solution

The fourth proportional to 7,841.52, 10,826.46 and 4,861.74 is: 6,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.52 : 10,826.46 = 4,861.74 : x
  2. Step 2: Convert to fraction form
    7,841.52/10,826.46 = 4,861.74/x
  3. Step 3: Cross multiply
    7,841.52x = 10,826.46 × 4,861.74
  4. Step 4: Simplify right side
    7,841.52x = 52,635,433.64
  5. Step 5: Solve for x
    x = 52,635,433.64/7,841.52
  6. Step 6: Final answer
    x = 6,712.40

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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.