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Finding the Fourth Proportional to 11,014.20, 15,200.46 and 6,300

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Solution

The fourth proportional to 11,014.20, 15,200.46 and 6,300 is: 8,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.20 : 15,200.46 = 6,300 : x
  2. Step 2: Convert to fraction form
    11,014.20/15,200.46 = 6,300/x
  3. Step 3: Cross multiply
    11,014.20x = 15,200.46 × 6,300
  4. Step 4: Simplify right side
    11,014.20x = 95,762,898
  5. Step 5: Solve for x
    x = 95,762,898/11,014.20
  6. Step 6: Final answer
    x = 8,694.49

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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.