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Finding the Fourth Proportional to 10,293.30, 14,203.37 and 6,509.79

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Solution

The fourth proportional to 10,293.30, 14,203.37 and 6,509.79 is: 8,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.30 : 14,203.37 = 6,509.79 : x
  2. Step 2: Convert to fraction form
    10,293.30/14,203.37 = 6,509.79/x
  3. Step 3: Cross multiply
    10,293.30x = 14,203.37 × 6,509.79
  4. Step 4: Simplify right side
    10,293.30x = 92,460,923.44
  5. Step 5: Solve for x
    x = 92,460,923.44/10,293.30
  6. Step 6: Final answer
    x = 8,982.63

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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.