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Finding the Fourth Proportional to 10,851.95, 14,976 and 6,136.13

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Solution

The fourth proportional to 10,851.95, 14,976 and 6,136.13 is: 8,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.95 : 14,976 = 6,136.13 : x
  2. Step 2: Convert to fraction form
    10,851.95/14,976 = 6,136.13/x
  3. Step 3: Cross multiply
    10,851.95x = 14,976 × 6,136.13
  4. Step 4: Simplify right side
    10,851.95x = 91,894,608
  5. Step 5: Solve for x
    x = 91,894,608/10,851.95
  6. Step 6: Final answer
    x = 8,468.03

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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.