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Finding the Fourth Proportional to 11,311.77, 16,969.47 and 4,294.74

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Solution

The fourth proportional to 11,311.77, 16,969.47 and 4,294.74 is: 6,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.77 : 16,969.47 = 4,294.74 : x
  2. Step 2: Convert to fraction form
    11,311.77/16,969.47 = 4,294.74/x
  3. Step 3: Cross multiply
    11,311.77x = 16,969.47 × 4,294.74
  4. Step 4: Simplify right side
    11,311.77x = 72,879,461.59
  5. Step 5: Solve for x
    x = 72,879,461.59/11,311.77
  6. Step 6: Final answer
    x = 6,442.80

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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.