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Finding the Fourth Proportional to 10,861.63, 16,298.10 and 5,930.35

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Solution

The fourth proportional to 10,861.63, 16,298.10 and 5,930.35 is: 8,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.63 : 16,298.10 = 5,930.35 : x
  2. Step 2: Convert to fraction form
    10,861.63/16,298.10 = 5,930.35/x
  3. Step 3: Cross multiply
    10,861.63x = 16,298.10 × 5,930.35
  4. Step 4: Simplify right side
    10,861.63x = 96,653,437.34
  5. Step 5: Solve for x
    x = 96,653,437.34/10,861.63
  6. Step 6: Final answer
    x = 8,898.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.