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Finding the Fourth Proportional to 7,497.77, 11,238.67 and 5,643.15

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Solution

The fourth proportional to 7,497.77, 11,238.67 and 5,643.15 is: 8,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.77 : 11,238.67 = 5,643.15 : x
  2. Step 2: Convert to fraction form
    7,497.77/11,238.67 = 5,643.15/x
  3. Step 3: Cross multiply
    7,497.77x = 11,238.67 × 5,643.15
  4. Step 4: Simplify right side
    7,497.77x = 63,421,472.39
  5. Step 5: Solve for x
    x = 63,421,472.39/7,497.77
  6. Step 6: Final answer
    x = 8,458.71

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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.