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Finding the Fourth Proportional to 11,225.57, 15,490.58 and 6,189.83

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Solution

The fourth proportional to 11,225.57, 15,490.58 and 6,189.83 is: 8,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.57 : 15,490.58 = 6,189.83 : x
  2. Step 2: Convert to fraction form
    11,225.57/15,490.58 = 6,189.83/x
  3. Step 3: Cross multiply
    11,225.57x = 15,490.58 × 6,189.83
  4. Step 4: Simplify right side
    11,225.57x = 95,883,948.40
  5. Step 5: Solve for x
    x = 95,883,948.40/11,225.57
  6. Step 6: Final answer
    x = 8,541.57

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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.