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Finding the Fourth Proportional to 10,387.39, 14,334.54 and 5,671.66

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Solution

The fourth proportional to 10,387.39, 14,334.54 and 5,671.66 is: 7,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.39 : 14,334.54 = 5,671.66 : x
  2. Step 2: Convert to fraction form
    10,387.39/14,334.54 = 5,671.66/x
  3. Step 3: Cross multiply
    10,387.39x = 14,334.54 × 5,671.66
  4. Step 4: Simplify right side
    10,387.39x = 81,300,637.14
  5. Step 5: Solve for x
    x = 81,300,637.14/10,387.39
  6. Step 6: Final answer
    x = 7,826.86

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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.