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Finding the Fourth Proportional to 10,294.29, 14,205.51 and 5,756.94

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Solution

The fourth proportional to 10,294.29, 14,205.51 and 5,756.94 is: 7,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.29 : 14,205.51 = 5,756.94 : x
  2. Step 2: Convert to fraction form
    10,294.29/14,205.51 = 5,756.94/x
  3. Step 3: Cross multiply
    10,294.29x = 14,205.51 × 5,756.94
  4. Step 4: Simplify right side
    10,294.29x = 81,780,268.74
  5. Step 5: Solve for x
    x = 81,780,268.74/10,294.29
  6. Step 6: Final answer
    x = 7,944.24

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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.