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Finding the Fourth Proportional to 10,861.63, 16,291.08 and 3,465.47

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Solution

The fourth proportional to 10,861.63, 16,291.08 and 3,465.47 is: 5,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.63 : 16,291.08 = 3,465.47 : x
  2. Step 2: Convert to fraction form
    10,861.63/16,291.08 = 3,465.47/x
  3. Step 3: Cross multiply
    10,861.63x = 16,291.08 × 3,465.47
  4. Step 4: Simplify right side
    10,861.63x = 56,456,289.74
  5. Step 5: Solve for x
    x = 56,456,289.74/10,861.63
  6. Step 6: Final answer
    x = 5,197.77

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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.