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Finding the Fourth Proportional to 5,825.09, 8,770.47 and 5,136.18

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Solution

The fourth proportional to 5,825.09, 8,770.47 and 5,136.18 is: 7,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.09 : 8,770.47 = 5,136.18 : x
  2. Step 2: Convert to fraction form
    5,825.09/8,770.47 = 5,136.18/x
  3. Step 3: Cross multiply
    5,825.09x = 8,770.47 × 5,136.18
  4. Step 4: Simplify right side
    5,825.09x = 45,046,712.60
  5. Step 5: Solve for x
    x = 45,046,712.60/5,825.09
  6. Step 6: Final answer
    x = 7,733.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.