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Finding the Fourth Proportional to 10,674.78, 14,736.90 and 7,143.99

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Solution

The fourth proportional to 10,674.78, 14,736.90 and 7,143.99 is: 9,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.78 : 14,736.90 = 7,143.99 : x
  2. Step 2: Convert to fraction form
    10,674.78/14,736.90 = 7,143.99/x
  3. Step 3: Cross multiply
    10,674.78x = 14,736.90 × 7,143.99
  4. Step 4: Simplify right side
    10,674.78x = 105,280,266.23
  5. Step 5: Solve for x
    x = 105,280,266.23/10,674.78
  6. Step 6: Final answer
    x = 9,862.52

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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.