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Finding the Fourth Proportional to 7,713.86, 11,561.48 and 3,548.15

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Solution

The fourth proportional to 7,713.86, 11,561.48 and 3,548.15 is: 5,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.86 : 11,561.48 = 3,548.15 : x
  2. Step 2: Convert to fraction form
    7,713.86/11,561.48 = 3,548.15/x
  3. Step 3: Cross multiply
    7,713.86x = 11,561.48 × 3,548.15
  4. Step 4: Simplify right side
    7,713.86x = 41,021,931.37
  5. Step 5: Solve for x
    x = 41,021,931.37/7,713.86
  6. Step 6: Final answer
    x = 5,317.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.