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Finding the Fourth Proportional to 10,235.43, 14,123.88 and 5,759.10

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Solution

The fourth proportional to 10,235.43, 14,123.88 and 5,759.10 is: 7,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.43 : 14,123.88 = 5,759.10 : x
  2. Step 2: Convert to fraction form
    10,235.43/14,123.88 = 5,759.10/x
  3. Step 3: Cross multiply
    10,235.43x = 14,123.88 × 5,759.10
  4. Step 4: Simplify right side
    10,235.43x = 81,340,837.31
  5. Step 5: Solve for x
    x = 81,340,837.31/10,235.43
  6. Step 6: Final answer
    x = 7,946.99

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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.