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Finding the Fourth Proportional to 7,634.86, 10,536.51 and 4,277.48

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Solution

The fourth proportional to 7,634.86, 10,536.51 and 4,277.48 is: 5,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.86 : 10,536.51 = 4,277.48 : x
  2. Step 2: Convert to fraction form
    7,634.86/10,536.51 = 4,277.48/x
  3. Step 3: Cross multiply
    7,634.86x = 10,536.51 × 4,277.48
  4. Step 4: Simplify right side
    7,634.86x = 45,069,674.15
  5. Step 5: Solve for x
    x = 45,069,674.15/7,634.86
  6. Step 6: Final answer
    x = 5,903.15

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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.