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Finding the Fourth Proportional to 11,376.72, 15,686.87 and 9,246.42

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Solution

The fourth proportional to 11,376.72, 15,686.87 and 9,246.42 is: 12,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.72 : 15,686.87 = 9,246.42 : x
  2. Step 2: Convert to fraction form
    11,376.72/15,686.87 = 9,246.42/x
  3. Step 3: Cross multiply
    11,376.72x = 15,686.87 × 9,246.42
  4. Step 4: Simplify right side
    11,376.72x = 145,047,342.27
  5. Step 5: Solve for x
    x = 145,047,342.27/11,376.72
  6. Step 6: Final answer
    x = 12,749.49

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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.