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Finding the Fourth Proportional to 10,386.86, 14,333.91 and 5,671.22

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Solution

The fourth proportional to 10,386.86, 14,333.91 and 5,671.22 is: 7,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.86 : 14,333.91 = 5,671.22 : x
  2. Step 2: Convert to fraction form
    10,386.86/14,333.91 = 5,671.22/x
  3. Step 3: Cross multiply
    10,386.86x = 14,333.91 × 5,671.22
  4. Step 4: Simplify right side
    10,386.86x = 81,290,757.07
  5. Step 5: Solve for x
    x = 81,290,757.07/10,386.86
  6. Step 6: Final answer
    x = 7,826.31

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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.