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Finding the Fourth Proportional to 7,665.30, 10,578.60 and 5,019.84

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Solution

The fourth proportional to 7,665.30, 10,578.60 and 5,019.84 is: 6,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.30 : 10,578.60 = 5,019.84 : x
  2. Step 2: Convert to fraction form
    7,665.30/10,578.60 = 5,019.84/x
  3. Step 3: Cross multiply
    7,665.30x = 10,578.60 × 5,019.84
  4. Step 4: Simplify right side
    7,665.30x = 53,102,879.42
  5. Step 5: Solve for x
    x = 53,102,879.42/7,665.30
  6. Step 6: Final answer
    x = 6,927.70

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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.