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Finding the Fourth Proportional to 10,392.02, 14,340.98 and 5,676.30

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Solution

The fourth proportional to 10,392.02, 14,340.98 and 5,676.30 is: 7,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.02 : 14,340.98 = 5,676.30 : x
  2. Step 2: Convert to fraction form
    10,392.02/14,340.98 = 5,676.30/x
  3. Step 3: Cross multiply
    10,392.02x = 14,340.98 × 5,676.30
  4. Step 4: Simplify right side
    10,392.02x = 81,403,704.77
  5. Step 5: Solve for x
    x = 81,403,704.77/10,392.02
  6. Step 6: Final answer
    x = 7,833.29

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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.