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Finding the Fourth Proportional to 10,280.43, 14,186.93 and 5,804.15

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Solution

The fourth proportional to 10,280.43, 14,186.93 and 5,804.15 is: 8,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.43 : 14,186.93 = 5,804.15 : x
  2. Step 2: Convert to fraction form
    10,280.43/14,186.93 = 5,804.15/x
  3. Step 3: Cross multiply
    10,280.43x = 14,186.93 × 5,804.15
  4. Step 4: Simplify right side
    10,280.43x = 82,342,969.80
  5. Step 5: Solve for x
    x = 82,342,969.80/10,280.43
  6. Step 6: Final answer
    x = 8,009.68

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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.