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Finding the Fourth Proportional to 7,683.75, 11,523.06 and 3,002.55

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Solution

The fourth proportional to 7,683.75, 11,523.06 and 3,002.55 is: 4,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.75 : 11,523.06 = 3,002.55 : x
  2. Step 2: Convert to fraction form
    7,683.75/11,523.06 = 3,002.55/x
  3. Step 3: Cross multiply
    7,683.75x = 11,523.06 × 3,002.55
  4. Step 4: Simplify right side
    7,683.75x = 34,598,491.17
  5. Step 5: Solve for x
    x = 34,598,491.17/7,683.75
  6. Step 6: Final answer
    x = 4,502.82

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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.