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Finding the Fourth Proportional to 11,188.56, 15,431.76 and 7,405.08

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Solution

The fourth proportional to 11,188.56, 15,431.76 and 7,405.08 is: 10,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.56 : 15,431.76 = 7,405.08 : x
  2. Step 2: Convert to fraction form
    11,188.56/15,431.76 = 7,405.08/x
  3. Step 3: Cross multiply
    11,188.56x = 15,431.76 × 7,405.08
  4. Step 4: Simplify right side
    11,188.56x = 114,273,417.34
  5. Step 5: Solve for x
    x = 114,273,417.34/11,188.56
  6. Step 6: Final answer
    x = 10,213.42

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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.