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Finding the Fourth Proportional to 10,192.72, 15,259.46 and 5,963

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Solution

The fourth proportional to 10,192.72, 15,259.46 and 5,963 is: 8,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.72 : 15,259.46 = 5,963 : x
  2. Step 2: Convert to fraction form
    10,192.72/15,259.46 = 5,963/x
  3. Step 3: Cross multiply
    10,192.72x = 15,259.46 × 5,963
  4. Step 4: Simplify right side
    10,192.72x = 90,992,159.98
  5. Step 5: Solve for x
    x = 90,992,159.98/10,192.72
  6. Step 6: Final answer
    x = 8,927.17

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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.