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Finding the Fourth Proportional to 10,147.84, 14,003.88 and 5,671.66

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Solution

The fourth proportional to 10,147.84, 14,003.88 and 5,671.66 is: 7,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.84 : 14,003.88 = 5,671.66 : x
  2. Step 2: Convert to fraction form
    10,147.84/14,003.88 = 5,671.66/x
  3. Step 3: Cross multiply
    10,147.84x = 14,003.88 × 5,671.66
  4. Step 4: Simplify right side
    10,147.84x = 79,425,246.04
  5. Step 5: Solve for x
    x = 79,425,246.04/10,147.84
  6. Step 6: Final answer
    x = 7,826.81

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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.