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Finding the Fourth Proportional to 7,586.76, 11,380.14 and 4,989.09

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Solution

The fourth proportional to 7,586.76, 11,380.14 and 4,989.09 is: 7,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.76 : 11,380.14 = 4,989.09 : x
  2. Step 2: Convert to fraction form
    7,586.76/11,380.14 = 4,989.09/x
  3. Step 3: Cross multiply
    7,586.76x = 11,380.14 × 4,989.09
  4. Step 4: Simplify right side
    7,586.76x = 56,776,542.67
  5. Step 5: Solve for x
    x = 56,776,542.67/7,586.76
  6. Step 6: Final answer
    x = 7,483.64

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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.