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Finding the Fourth Proportional to 11,647.84, 16,045.80 and 8,658.52

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Solution

The fourth proportional to 11,647.84, 16,045.80 and 8,658.52 is: 11,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.84 : 16,045.80 = 8,658.52 : x
  2. Step 2: Convert to fraction form
    11,647.84/16,045.80 = 8,658.52/x
  3. Step 3: Cross multiply
    11,647.84x = 16,045.80 × 8,658.52
  4. Step 4: Simplify right side
    11,647.84x = 138,932,880.22
  5. Step 5: Solve for x
    x = 138,932,880.22/11,647.84
  6. Step 6: Final answer
    x = 11,927.78

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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.