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Finding the Fourth Proportional to 11,658.88, 16,076.28 and 9,136.48

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Solution

The fourth proportional to 11,658.88, 16,076.28 and 9,136.48 is: 12,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.88 : 16,076.28 = 9,136.48 : x
  2. Step 2: Convert to fraction form
    11,658.88/16,076.28 = 9,136.48/x
  3. Step 3: Cross multiply
    11,658.88x = 16,076.28 × 9,136.48
  4. Step 4: Simplify right side
    11,658.88x = 146,880,610.69
  5. Step 5: Solve for x
    x = 146,880,610.69/11,658.88
  6. Step 6: Final answer
    x = 12,598.18

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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.