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Finding the Fourth Proportional to 6,707.58, 10,064.22 and 3,586.78

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Solution

The fourth proportional to 6,707.58, 10,064.22 and 3,586.78 is: 5,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.58 : 10,064.22 = 3,586.78 : x
  2. Step 2: Convert to fraction form
    6,707.58/10,064.22 = 3,586.78/x
  3. Step 3: Cross multiply
    6,707.58x = 10,064.22 × 3,586.78
  4. Step 4: Simplify right side
    6,707.58x = 36,098,172.40
  5. Step 5: Solve for x
    x = 36,098,172.40/6,707.58
  6. Step 6: Final answer
    x = 5,381.69

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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.