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Finding the Fourth Proportional to 7,586.87, 11,386.26 and 5,263.22

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Solution

The fourth proportional to 7,586.87, 11,386.26 and 5,263.22 is: 7,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.87 : 11,386.26 = 5,263.22 : x
  2. Step 2: Convert to fraction form
    7,586.87/11,386.26 = 5,263.22/x
  3. Step 3: Cross multiply
    7,586.87x = 11,386.26 × 5,263.22
  4. Step 4: Simplify right side
    7,586.87x = 59,928,419.82
  5. Step 5: Solve for x
    x = 59,928,419.82/7,586.87
  6. Step 6: Final answer
    x = 7,898.97

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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.