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Finding the Fourth Proportional to 10,165.64, 15,241.17 and 4,616.21

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Solution

The fourth proportional to 10,165.64, 15,241.17 and 4,616.21 is: 6,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.64 : 15,241.17 = 4,616.21 : x
  2. Step 2: Convert to fraction form
    10,165.64/15,241.17 = 4,616.21/x
  3. Step 3: Cross multiply
    10,165.64x = 15,241.17 × 4,616.21
  4. Step 4: Simplify right side
    10,165.64x = 70,356,441.37
  5. Step 5: Solve for x
    x = 70,356,441.37/10,165.64
  6. Step 6: Final answer
    x = 6,921.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.