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Finding the Fourth Proportional to 10,280.78, 14,188.73 and 5,804.72

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Solution

The fourth proportional to 10,280.78, 14,188.73 and 5,804.72 is: 8,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.78 : 14,188.73 = 5,804.72 : x
  2. Step 2: Convert to fraction form
    10,280.78/14,188.73 = 5,804.72/x
  3. Step 3: Cross multiply
    10,280.78x = 14,188.73 × 5,804.72
  4. Step 4: Simplify right side
    10,280.78x = 82,361,604.81
  5. Step 5: Solve for x
    x = 82,361,604.81/10,280.78
  6. Step 6: Final answer
    x = 8,011.22

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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.