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Finding the Fourth Proportional to 7,634.66, 10,536.36 and 4,277.76

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Solution

The fourth proportional to 7,634.66, 10,536.36 and 4,277.76 is: 5,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.66 : 10,536.36 = 4,277.76 : x
  2. Step 2: Convert to fraction form
    7,634.66/10,536.36 = 4,277.76/x
  3. Step 3: Cross multiply
    7,634.66x = 10,536.36 × 4,277.76
  4. Step 4: Simplify right side
    7,634.66x = 45,072,019.35
  5. Step 5: Solve for x
    x = 45,072,019.35/7,634.66
  6. Step 6: Final answer
    x = 5,903.61

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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.