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Finding the Fourth Proportional to 7,136.56, 9,851.82 and 5,368.84

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Solution

The fourth proportional to 7,136.56, 9,851.82 and 5,368.84 is: 7,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.56 : 9,851.82 = 5,368.84 : x
  2. Step 2: Convert to fraction form
    7,136.56/9,851.82 = 5,368.84/x
  3. Step 3: Cross multiply
    7,136.56x = 9,851.82 × 5,368.84
  4. Step 4: Simplify right side
    7,136.56x = 52,892,845.29
  5. Step 5: Solve for x
    x = 52,892,845.29/7,136.56
  6. Step 6: Final answer
    x = 7,411.53

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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.