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Finding the Fourth Proportional to 11,777.44, 16,252.08 and 6,472

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Solution

The fourth proportional to 11,777.44, 16,252.08 and 6,472 is: 8,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.44 : 16,252.08 = 6,472 : x
  2. Step 2: Convert to fraction form
    11,777.44/16,252.08 = 6,472/x
  3. Step 3: Cross multiply
    11,777.44x = 16,252.08 × 6,472
  4. Step 4: Simplify right side
    11,777.44x = 105,183,461.76
  5. Step 5: Solve for x
    x = 105,183,461.76/11,777.44
  6. Step 6: Final answer
    x = 8,930.93

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Why These Related Problems?

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