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Finding the Fourth Proportional to 10,350.82, 14,300.86 and 7,220.98

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Solution

The fourth proportional to 10,350.82, 14,300.86 and 7,220.98 is: 9,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.82 : 14,300.86 = 7,220.98 : x
  2. Step 2: Convert to fraction form
    10,350.82/14,300.86 = 7,220.98/x
  3. Step 3: Cross multiply
    10,350.82x = 14,300.86 × 7,220.98
  4. Step 4: Simplify right side
    10,350.82x = 103,266,224.04
  5. Step 5: Solve for x
    x = 103,266,224.04/10,350.82
  6. Step 6: Final answer
    x = 9,976.62

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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.