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Finding the Fourth Proportional to 11,747.16, 16,211.04 and 6,441.84

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Solution

The fourth proportional to 11,747.16, 16,211.04 and 6,441.84 is: 8,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.16 : 16,211.04 = 6,441.84 : x
  2. Step 2: Convert to fraction form
    11,747.16/16,211.04 = 6,441.84/x
  3. Step 3: Cross multiply
    11,747.16x = 16,211.04 × 6,441.84
  4. Step 4: Simplify right side
    11,747.16x = 104,428,925.91
  5. Step 5: Solve for x
    x = 104,428,925.91/11,747.16
  6. Step 6: Final answer
    x = 8,889.72

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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.