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Finding the Fourth Proportional to 7,633.50, 10,534.10 and 4,276.28

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Solution

The fourth proportional to 7,633.50, 10,534.10 and 4,276.28 is: 5,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.50 : 10,534.10 = 4,276.28 : x
  2. Step 2: Convert to fraction form
    7,633.50/10,534.10 = 4,276.28/x
  3. Step 3: Cross multiply
    7,633.50x = 10,534.10 × 4,276.28
  4. Step 4: Simplify right side
    7,633.50x = 45,046,687.10
  5. Step 5: Solve for x
    x = 45,046,687.10/7,633.50
  6. Step 6: Final answer
    x = 5,901.18

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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.