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Finding the Fourth Proportional to 6,140.64, 8,366.16 and 6,005.28

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Solution

The fourth proportional to 6,140.64, 8,366.16 and 6,005.28 is: 8,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.64 : 8,366.16 = 6,005.28 : x
  2. Step 2: Convert to fraction form
    6,140.64/8,366.16 = 6,005.28/x
  3. Step 3: Cross multiply
    6,140.64x = 8,366.16 × 6,005.28
  4. Step 4: Simplify right side
    6,140.64x = 50,241,133.32
  5. Step 5: Solve for x
    x = 50,241,133.32/6,140.64
  6. Step 6: Final answer
    x = 8,181.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.