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Finding the Fourth Proportional to 10,866.34, 16,287.85 and 7,116.67

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Solution

The fourth proportional to 10,866.34, 16,287.85 and 7,116.67 is: 10,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.34 : 16,287.85 = 7,116.67 : x
  2. Step 2: Convert to fraction form
    10,866.34/16,287.85 = 7,116.67/x
  3. Step 3: Cross multiply
    10,866.34x = 16,287.85 × 7,116.67
  4. Step 4: Simplify right side
    10,866.34x = 115,915,253.46
  5. Step 5: Solve for x
    x = 115,915,253.46/10,866.34
  6. Step 6: Final answer
    x = 10,667.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.