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Finding the Fourth Proportional to 7,839.52, 10,814.64 and 4,651.42

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Solution

The fourth proportional to 7,839.52, 10,814.64 and 4,651.42 is: 6,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.52 : 10,814.64 = 4,651.42 : x
  2. Step 2: Convert to fraction form
    7,839.52/10,814.64 = 4,651.42/x
  3. Step 3: Cross multiply
    7,839.52x = 10,814.64 × 4,651.42
  4. Step 4: Simplify right side
    7,839.52x = 50,303,432.79
  5. Step 5: Solve for x
    x = 50,303,432.79/7,839.52
  6. Step 6: Final answer
    x = 6,416.65

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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.