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Finding the Fourth Proportional to 10,875.87, 16,311.63 and 3,478.32

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Solution

The fourth proportional to 10,875.87, 16,311.63 and 3,478.32 is: 5,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.87 : 16,311.63 = 3,478.32 : x
  2. Step 2: Convert to fraction form
    10,875.87/16,311.63 = 3,478.32/x
  3. Step 3: Cross multiply
    10,875.87x = 16,311.63 × 3,478.32
  4. Step 4: Simplify right side
    10,875.87x = 56,737,068.86
  5. Step 5: Solve for x
    x = 56,737,068.86/10,875.87
  6. Step 6: Final answer
    x = 5,216.78

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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.