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Finding the Fourth Proportional to 7,410.44, 11,089.74 and 5,665.16

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Solution

The fourth proportional to 7,410.44, 11,089.74 and 5,665.16 is: 8,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.44 : 11,089.74 = 5,665.16 : x
  2. Step 2: Convert to fraction form
    7,410.44/11,089.74 = 5,665.16/x
  3. Step 3: Cross multiply
    7,410.44x = 11,089.74 × 5,665.16
  4. Step 4: Simplify right side
    7,410.44x = 62,825,151.46
  5. Step 5: Solve for x
    x = 62,825,151.46/7,410.44
  6. Step 6: Final answer
    x = 8,477.92

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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.