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Finding the Fourth Proportional to 11,225.46, 15,490.83 and 6,189.60

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Solution

The fourth proportional to 11,225.46, 15,490.83 and 6,189.60 is: 8,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.46 : 15,490.83 = 6,189.60 : x
  2. Step 2: Convert to fraction form
    11,225.46/15,490.83 = 6,189.60/x
  3. Step 3: Cross multiply
    11,225.46x = 15,490.83 × 6,189.60
  4. Step 4: Simplify right side
    11,225.46x = 95,882,041.37
  5. Step 5: Solve for x
    x = 95,882,041.37/11,225.46
  6. Step 6: Final answer
    x = 8,541.48

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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.