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Finding the Fourth Proportional to 11,586.72, 15,987 and 7,816.88

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Solution

The fourth proportional to 11,586.72, 15,987 and 7,816.88 is: 10,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.72 : 15,987 = 7,816.88 : x
  2. Step 2: Convert to fraction form
    11,586.72/15,987 = 7,816.88/x
  3. Step 3: Cross multiply
    11,586.72x = 15,987 × 7,816.88
  4. Step 4: Simplify right side
    11,586.72x = 124,968,460.56
  5. Step 5: Solve for x
    x = 124,968,460.56/11,586.72
  6. Step 6: Final answer
    x = 10,785.49

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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.