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Finding the Fourth Proportional to 10,280.71, 14,172.83 and 7,295.46

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Solution

The fourth proportional to 10,280.71, 14,172.83 and 7,295.46 is: 10,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.71 : 14,172.83 = 7,295.46 : x
  2. Step 2: Convert to fraction form
    10,280.71/14,172.83 = 7,295.46/x
  3. Step 3: Cross multiply
    10,280.71x = 14,172.83 × 7,295.46
  4. Step 4: Simplify right side
    10,280.71x = 103,397,314.35
  5. Step 5: Solve for x
    x = 103,397,314.35/10,280.71
  6. Step 6: Final answer
    x = 10,057.41

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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.