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Finding the Fourth Proportional to 7,136.75, 10,663.80 and 5,152.95

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Solution

The fourth proportional to 7,136.75, 10,663.80 and 5,152.95 is: 7,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.75 : 10,663.80 = 5,152.95 : x
  2. Step 2: Convert to fraction form
    7,136.75/10,663.80 = 5,152.95/x
  3. Step 3: Cross multiply
    7,136.75x = 10,663.80 × 5,152.95
  4. Step 4: Simplify right side
    7,136.75x = 54,950,028.21
  5. Step 5: Solve for x
    x = 54,950,028.21/7,136.75
  6. Step 6: Final answer
    x = 7,699.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.