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Finding the Fourth Proportional to 7,635.95, 10,538.25 and 4,278.71

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Solution

The fourth proportional to 7,635.95, 10,538.25 and 4,278.71 is: 5,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.95 : 10,538.25 = 4,278.71 : x
  2. Step 2: Convert to fraction form
    7,635.95/10,538.25 = 4,278.71/x
  3. Step 3: Cross multiply
    7,635.95x = 10,538.25 × 4,278.71
  4. Step 4: Simplify right side
    7,635.95x = 45,090,115.66
  5. Step 5: Solve for x
    x = 45,090,115.66/7,635.95
  6. Step 6: Final answer
    x = 5,904.98

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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.