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Finding the Fourth Proportional to 11,777.48, 16,252.93 and 6,472.30

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Solution

The fourth proportional to 11,777.48, 16,252.93 and 6,472.30 is: 8,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.48 : 16,252.93 = 6,472.30 : x
  2. Step 2: Convert to fraction form
    11,777.48/16,252.93 = 6,472.30/x
  3. Step 3: Cross multiply
    11,777.48x = 16,252.93 × 6,472.30
  4. Step 4: Simplify right side
    11,777.48x = 105,193,838.84
  5. Step 5: Solve for x
    x = 105,193,838.84/11,777.48
  6. Step 6: Final answer
    x = 8,931.78

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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.