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Finding the Fourth Proportional to 10,392.03, 14,340.78 and 5,676.33

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Solution

The fourth proportional to 10,392.03, 14,340.78 and 5,676.33 is: 7,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.03 : 14,340.78 = 5,676.33 : x
  2. Step 2: Convert to fraction form
    10,392.03/14,340.78 = 5,676.33/x
  3. Step 3: Cross multiply
    10,392.03x = 14,340.78 × 5,676.33
  4. Step 4: Simplify right side
    10,392.03x = 81,402,999.74
  5. Step 5: Solve for x
    x = 81,402,999.74/10,392.03
  6. Step 6: Final answer
    x = 7,833.21

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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.