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Finding the Fourth Proportional to 10,723.38, 14,798.87 and 6,009.18

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Solution

The fourth proportional to 10,723.38, 14,798.87 and 6,009.18 is: 8,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.38 : 14,798.87 = 6,009.18 : x
  2. Step 2: Convert to fraction form
    10,723.38/14,798.87 = 6,009.18/x
  3. Step 3: Cross multiply
    10,723.38x = 14,798.87 × 6,009.18
  4. Step 4: Simplify right side
    10,723.38x = 88,929,073.63
  5. Step 5: Solve for x
    x = 88,929,073.63/10,723.38
  6. Step 6: Final answer
    x = 8,293.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.