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Finding the Fourth Proportional to 5,766.81, 7,941.43 and 5,010.24

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Solution

The fourth proportional to 5,766.81, 7,941.43 and 5,010.24 is: 6,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.81 : 7,941.43 = 5,010.24 : x
  2. Step 2: Convert to fraction form
    5,766.81/7,941.43 = 5,010.24/x
  3. Step 3: Cross multiply
    5,766.81x = 7,941.43 × 5,010.24
  4. Step 4: Simplify right side
    5,766.81x = 39,788,506.29
  5. Step 5: Solve for x
    x = 39,788,506.29/5,766.81
  6. Step 6: Final answer
    x = 6,899.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.