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Finding the Fourth Proportional to 7,634.30, 10,535.04 and 4,277.10

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Solution

The fourth proportional to 7,634.30, 10,535.04 and 4,277.10 is: 5,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.30 : 10,535.04 = 4,277.10 : x
  2. Step 2: Convert to fraction form
    7,634.30/10,535.04 = 4,277.10/x
  3. Step 3: Cross multiply
    7,634.30x = 10,535.04 × 4,277.10
  4. Step 4: Simplify right side
    7,634.30x = 45,059,447.06
  5. Step 5: Solve for x
    x = 45,059,447.06/7,634.30
  6. Step 6: Final answer
    x = 5,902.24

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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.