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Finding the Fourth Proportional to 7,586.92, 10,478.06 and 6,762.34

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Solution

The fourth proportional to 7,586.92, 10,478.06 and 6,762.34 is: 9,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.92 : 10,478.06 = 6,762.34 : x
  2. Step 2: Convert to fraction form
    7,586.92/10,478.06 = 6,762.34/x
  3. Step 3: Cross multiply
    7,586.92x = 10,478.06 × 6,762.34
  4. Step 4: Simplify right side
    7,586.92x = 70,856,204.26
  5. Step 5: Solve for x
    x = 70,856,204.26/7,586.92
  6. Step 6: Final answer
    x = 9,339.26

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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.