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Finding the Fourth Proportional to 10,501.92, 14,490.54 and 7,983.36

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Solution

The fourth proportional to 10,501.92, 14,490.54 and 7,983.36 is: 11,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.92 : 14,490.54 = 7,983.36 : x
  2. Step 2: Convert to fraction form
    10,501.92/14,490.54 = 7,983.36/x
  3. Step 3: Cross multiply
    10,501.92x = 14,490.54 × 7,983.36
  4. Step 4: Simplify right side
    10,501.92x = 115,683,197.41
  5. Step 5: Solve for x
    x = 115,683,197.41/10,501.92
  6. Step 6: Final answer
    x = 11,015.43

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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.