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Finding the Fourth Proportional to 10,824.93, 14,952.47 and 7,998.57

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Solution

The fourth proportional to 10,824.93, 14,952.47 and 7,998.57 is: 11,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.93 : 14,952.47 = 7,998.57 : x
  2. Step 2: Convert to fraction form
    10,824.93/14,952.47 = 7,998.57/x
  3. Step 3: Cross multiply
    10,824.93x = 14,952.47 × 7,998.57
  4. Step 4: Simplify right side
    10,824.93x = 119,598,337.98
  5. Step 5: Solve for x
    x = 119,598,337.98/10,824.93
  6. Step 6: Final answer
    x = 11,048.42

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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.