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Finding the Fourth Proportional to 5,126.67, 7,683.53 and 5,071.59

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Solution

The fourth proportional to 5,126.67, 7,683.53 and 5,071.59 is: 7,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.67 : 7,683.53 = 5,071.59 : x
  2. Step 2: Convert to fraction form
    5,126.67/7,683.53 = 5,071.59/x
  3. Step 3: Cross multiply
    5,126.67x = 7,683.53 × 5,071.59
  4. Step 4: Simplify right side
    5,126.67x = 38,967,688.55
  5. Step 5: Solve for x
    x = 38,967,688.55/5,126.67
  6. Step 6: Final answer
    x = 7,600.97

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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.