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Finding the Fourth Proportional to 7,651.86, 10,559.97 and 4,294.50

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Solution

The fourth proportional to 7,651.86, 10,559.97 and 4,294.50 is: 5,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.86 : 10,559.97 = 4,294.50 : x
  2. Step 2: Convert to fraction form
    7,651.86/10,559.97 = 4,294.50/x
  3. Step 3: Cross multiply
    7,651.86x = 10,559.97 × 4,294.50
  4. Step 4: Simplify right side
    7,651.86x = 45,349,791.17
  5. Step 5: Solve for x
    x = 45,349,791.17/7,651.86
  6. Step 6: Final answer
    x = 5,926.64

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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.