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Finding the Fourth Proportional to 7,586.22, 11,363.94 and 4,292.37

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Solution

The fourth proportional to 7,586.22, 11,363.94 and 4,292.37 is: 6,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.22 : 11,363.94 = 4,292.37 : x
  2. Step 2: Convert to fraction form
    7,586.22/11,363.94 = 4,292.37/x
  3. Step 3: Cross multiply
    7,586.22x = 11,363.94 × 4,292.37
  4. Step 4: Simplify right side
    7,586.22x = 48,778,235.14
  5. Step 5: Solve for x
    x = 48,778,235.14/7,586.22
  6. Step 6: Final answer
    x = 6,429.85

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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.