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Finding the Fourth Proportional to 10,235.66, 14,125.28 and 5,759.49

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Solution

The fourth proportional to 10,235.66, 14,125.28 and 5,759.49 is: 7,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.66 : 14,125.28 = 5,759.49 : x
  2. Step 2: Convert to fraction form
    10,235.66/14,125.28 = 5,759.49/x
  3. Step 3: Cross multiply
    10,235.66x = 14,125.28 × 5,759.49
  4. Step 4: Simplify right side
    10,235.66x = 81,354,380.11
  5. Step 5: Solve for x
    x = 81,354,380.11/10,235.66
  6. Step 6: Final answer
    x = 7,948.13

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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.