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Finding the Fourth Proportional to 10,864.50, 16,270.62 and 9,295.50

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Solution

The fourth proportional to 10,864.50, 16,270.62 and 9,295.50 is: 13,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.50 : 16,270.62 = 9,295.50 : x
  2. Step 2: Convert to fraction form
    10,864.50/16,270.62 = 9,295.50/x
  3. Step 3: Cross multiply
    10,864.50x = 16,270.62 × 9,295.50
  4. Step 4: Simplify right side
    10,864.50x = 151,243,548.21
  5. Step 5: Solve for x
    x = 151,243,548.21/10,864.50
  6. Step 6: Final answer
    x = 13,920.89

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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.