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Finding the Fourth Proportional to 10,737.20, 14,817.48 and 6,021.20

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Solution

The fourth proportional to 10,737.20, 14,817.48 and 6,021.20 is: 8,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.20 : 14,817.48 = 6,021.20 : x
  2. Step 2: Convert to fraction form
    10,737.20/14,817.48 = 6,021.20/x
  3. Step 3: Cross multiply
    10,737.20x = 14,817.48 × 6,021.20
  4. Step 4: Simplify right side
    10,737.20x = 89,219,010.58
  5. Step 5: Solve for x
    x = 89,219,010.58/10,737.20
  6. Step 6: Final answer
    x = 8,309.34

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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.