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Finding the Fourth Proportional to 11,658.50, 16,088.27 and 6,353.21

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Solution

The fourth proportional to 11,658.50, 16,088.27 and 6,353.21 is: 8,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.50 : 16,088.27 = 6,353.21 : x
  2. Step 2: Convert to fraction form
    11,658.50/16,088.27 = 6,353.21/x
  3. Step 3: Cross multiply
    11,658.50x = 16,088.27 × 6,353.21
  4. Step 4: Simplify right side
    11,658.50x = 102,212,045.64
  5. Step 5: Solve for x
    x = 102,212,045.64/11,658.50
  6. Step 6: Final answer
    x = 8,767.17

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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.