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Finding the Fourth Proportional to 11,658.34, 16,088.50 and 6,353.14

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Solution

The fourth proportional to 11,658.34, 16,088.50 and 6,353.14 is: 8,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.34 : 16,088.50 = 6,353.14 : x
  2. Step 2: Convert to fraction form
    11,658.34/16,088.50 = 6,353.14/x
  3. Step 3: Cross multiply
    11,658.34x = 16,088.50 × 6,353.14
  4. Step 4: Simplify right side
    11,658.34x = 102,212,492.89
  5. Step 5: Solve for x
    x = 102,212,492.89/11,658.34
  6. Step 6: Final answer
    x = 8,767.33

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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.