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Finding the Fourth Proportional to 10,932.37, 16,403.11 and 6,766.13

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Solution

The fourth proportional to 10,932.37, 16,403.11 and 6,766.13 is: 10,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.37 : 16,403.11 = 6,766.13 : x
  2. Step 2: Convert to fraction form
    10,932.37/16,403.11 = 6,766.13/x
  3. Step 3: Cross multiply
    10,932.37x = 16,403.11 × 6,766.13
  4. Step 4: Simplify right side
    10,932.37x = 110,985,598.76
  5. Step 5: Solve for x
    x = 110,985,598.76/10,932.37
  6. Step 6: Final answer
    x = 10,152.02

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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.