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Finding the Fourth Proportional to 11,288.96, 15,580.22 and 6,815.24

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Solution

The fourth proportional to 11,288.96, 15,580.22 and 6,815.24 is: 9,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.96 : 15,580.22 = 6,815.24 : x
  2. Step 2: Convert to fraction form
    11,288.96/15,580.22 = 6,815.24/x
  3. Step 3: Cross multiply
    11,288.96x = 15,580.22 × 6,815.24
  4. Step 4: Simplify right side
    11,288.96x = 106,182,938.55
  5. Step 5: Solve for x
    x = 106,182,938.55/11,288.96
  6. Step 6: Final answer
    x = 9,405.91

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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.