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Finding the Fourth Proportional to 11,753.20, 16,219.76 and 6,718.24

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Solution

The fourth proportional to 11,753.20, 16,219.76 and 6,718.24 is: 9,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.20 : 16,219.76 = 6,718.24 : x
  2. Step 2: Convert to fraction form
    11,753.20/16,219.76 = 6,718.24/x
  3. Step 3: Cross multiply
    11,753.20x = 16,219.76 × 6,718.24
  4. Step 4: Simplify right side
    11,753.20x = 108,968,206.83
  5. Step 5: Solve for x
    x = 108,968,206.83/11,753.20
  6. Step 6: Final answer
    x = 9,271.36

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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.