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Finding the Fourth Proportional to 10,256.84, 14,154.26 and 5,781.02

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Solution

The fourth proportional to 10,256.84, 14,154.26 and 5,781.02 is: 7,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.84 : 14,154.26 = 5,781.02 : x
  2. Step 2: Convert to fraction form
    10,256.84/14,154.26 = 5,781.02/x
  3. Step 3: Cross multiply
    10,256.84x = 14,154.26 × 5,781.02
  4. Step 4: Simplify right side
    10,256.84x = 81,826,060.15
  5. Step 5: Solve for x
    x = 81,826,060.15/10,256.84
  6. Step 6: Final answer
    x = 7,977.71

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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.