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Finding the Fourth Proportional to 6,142.02, 8,483.88 and 5,343.90

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Solution

The fourth proportional to 6,142.02, 8,483.88 and 5,343.90 is: 7,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.02 : 8,483.88 = 5,343.90 : x
  2. Step 2: Convert to fraction form
    6,142.02/8,483.88 = 5,343.90/x
  3. Step 3: Cross multiply
    6,142.02x = 8,483.88 × 5,343.90
  4. Step 4: Simplify right side
    6,142.02x = 45,337,006.33
  5. Step 5: Solve for x
    x = 45,337,006.33/6,142.02
  6. Step 6: Final answer
    x = 7,381.45

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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.