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Finding the Fourth Proportional to 10,012.96, 13,817.28 and 6,035.36

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Solution

The fourth proportional to 10,012.96, 13,817.28 and 6,035.36 is: 8,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.96 : 13,817.28 = 6,035.36 : x
  2. Step 2: Convert to fraction form
    10,012.96/13,817.28 = 6,035.36/x
  3. Step 3: Cross multiply
    10,012.96x = 13,817.28 × 6,035.36
  4. Step 4: Simplify right side
    10,012.96x = 83,392,259.02
  5. Step 5: Solve for x
    x = 83,392,259.02/10,012.96
  6. Step 6: Final answer
    x = 8,328.43

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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.