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Finding the Fourth Proportional to 10,922.86, 16,378.53 and 4,763.50

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Solution

The fourth proportional to 10,922.86, 16,378.53 and 4,763.50 is: 7,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.86 : 16,378.53 = 4,763.50 : x
  2. Step 2: Convert to fraction form
    10,922.86/16,378.53 = 4,763.50/x
  3. Step 3: Cross multiply
    10,922.86x = 16,378.53 × 4,763.50
  4. Step 4: Simplify right side
    10,922.86x = 78,019,127.66
  5. Step 5: Solve for x
    x = 78,019,127.66/10,922.86
  6. Step 6: Final answer
    x = 7,142.74

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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.