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Finding the Fourth Proportional to 7,586.44, 11,374.80 and 5,239.87

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Solution

The fourth proportional to 7,586.44, 11,374.80 and 5,239.87 is: 7,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.44 : 11,374.80 = 5,239.87 : x
  2. Step 2: Convert to fraction form
    7,586.44/11,374.80 = 5,239.87/x
  3. Step 3: Cross multiply
    7,586.44x = 11,374.80 × 5,239.87
  4. Step 4: Simplify right side
    7,586.44x = 59,602,473.28
  5. Step 5: Solve for x
    x = 59,602,473.28/7,586.44
  6. Step 6: Final answer
    x = 7,856.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.