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Finding the Fourth Proportional to 10,864.50, 14,999.78 and 7,467.36

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Solution

The fourth proportional to 10,864.50, 14,999.78 and 7,467.36 is: 10,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.50 : 14,999.78 = 7,467.36 : x
  2. Step 2: Convert to fraction form
    10,864.50/14,999.78 = 7,467.36/x
  3. Step 3: Cross multiply
    10,864.50x = 14,999.78 × 7,467.36
  4. Step 4: Simplify right side
    10,864.50x = 112,008,719.84
  5. Step 5: Solve for x
    x = 112,008,719.84/10,864.50
  6. Step 6: Final answer
    x = 10,309.61

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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.