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Finding the Fourth Proportional to 6,007.41, 8,298.63 and 5,692.14

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Solution

The fourth proportional to 6,007.41, 8,298.63 and 5,692.14 is: 7,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.41 : 8,298.63 = 5,692.14 : x
  2. Step 2: Convert to fraction form
    6,007.41/8,298.63 = 5,692.14/x
  3. Step 3: Cross multiply
    6,007.41x = 8,298.63 × 5,692.14
  4. Step 4: Simplify right side
    6,007.41x = 47,236,963.77
  5. Step 5: Solve for x
    x = 47,236,963.77/6,007.41
  6. Step 6: Final answer
    x = 7,863.12

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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.