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Finding the Fourth Proportional to 10,800.98, 14,908.14 and 7,033.56

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Solution

The fourth proportional to 10,800.98, 14,908.14 and 7,033.56 is: 9,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.98 : 14,908.14 = 7,033.56 : x
  2. Step 2: Convert to fraction form
    10,800.98/14,908.14 = 7,033.56/x
  3. Step 3: Cross multiply
    10,800.98x = 14,908.14 × 7,033.56
  4. Step 4: Simplify right side
    10,800.98x = 104,857,297.18
  5. Step 5: Solve for x
    x = 104,857,297.18/10,800.98
  6. Step 6: Final answer
    x = 9,708.13

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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.