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Finding the Fourth Proportional to 7,634.50, 10,535.47 and 4,277.28

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Solution

The fourth proportional to 7,634.50, 10,535.47 and 4,277.28 is: 5,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.50 : 10,535.47 = 4,277.28 : x
  2. Step 2: Convert to fraction form
    7,634.50/10,535.47 = 4,277.28/x
  3. Step 3: Cross multiply
    7,634.50x = 10,535.47 × 4,277.28
  4. Step 4: Simplify right side
    7,634.50x = 45,063,155.12
  5. Step 5: Solve for x
    x = 45,063,155.12/7,634.50
  6. Step 6: Final answer
    x = 5,902.57

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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.