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Finding the Fourth Proportional to 7,345.86, 11,019.94 and 2,414.38

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Solution

The fourth proportional to 7,345.86, 11,019.94 and 2,414.38 is: 3,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.86 : 11,019.94 = 2,414.38 : x
  2. Step 2: Convert to fraction form
    7,345.86/11,019.94 = 2,414.38/x
  3. Step 3: Cross multiply
    7,345.86x = 11,019.94 × 2,414.38
  4. Step 4: Simplify right side
    7,345.86x = 26,606,322.74
  5. Step 5: Solve for x
    x = 26,606,322.74/7,345.86
  6. Step 6: Final answer
    x = 3,621.95

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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.