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Finding the Fourth Proportional to 11,906.46, 16,431.30 and 6,870.92

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Solution

The fourth proportional to 11,906.46, 16,431.30 and 6,870.92 is: 9,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.46 : 16,431.30 = 6,870.92 : x
  2. Step 2: Convert to fraction form
    11,906.46/16,431.30 = 6,870.92/x
  3. Step 3: Cross multiply
    11,906.46x = 16,431.30 × 6,870.92
  4. Step 4: Simplify right side
    11,906.46x = 112,898,065.64
  5. Step 5: Solve for x
    x = 112,898,065.64/11,906.46
  6. Step 6: Final answer
    x = 9,482.08

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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.