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Finding the Fourth Proportional to 10,843.50, 14,964.04 and 5,875.50

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Solution

The fourth proportional to 10,843.50, 14,964.04 and 5,875.50 is: 8,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.50 : 14,964.04 = 5,875.50 : x
  2. Step 2: Convert to fraction form
    10,843.50/14,964.04 = 5,875.50/x
  3. Step 3: Cross multiply
    10,843.50x = 14,964.04 × 5,875.50
  4. Step 4: Simplify right side
    10,843.50x = 87,921,217.02
  5. Step 5: Solve for x
    x = 87,921,217.02/10,843.50
  6. Step 6: Final answer
    x = 8,108.20

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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.