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Finding the Fourth Proportional to 11,770.32, 16,242.80 and 6,465.12

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Solution

The fourth proportional to 11,770.32, 16,242.80 and 6,465.12 is: 8,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.32 : 16,242.80 = 6,465.12 : x
  2. Step 2: Convert to fraction form
    11,770.32/16,242.80 = 6,465.12/x
  3. Step 3: Cross multiply
    11,770.32x = 16,242.80 × 6,465.12
  4. Step 4: Simplify right side
    11,770.32x = 105,011,651.14
  5. Step 5: Solve for x
    x = 105,011,651.14/11,770.32
  6. Step 6: Final answer
    x = 8,921.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.