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Finding the Fourth Proportional to 7,476.96, 11,200.86 and 5,498.94

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Solution

The fourth proportional to 7,476.96, 11,200.86 and 5,498.94 is: 8,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.96 : 11,200.86 = 5,498.94 : x
  2. Step 2: Convert to fraction form
    7,476.96/11,200.86 = 5,498.94/x
  3. Step 3: Cross multiply
    7,476.96x = 11,200.86 × 5,498.94
  4. Step 4: Simplify right side
    7,476.96x = 61,592,857.09
  5. Step 5: Solve for x
    x = 61,592,857.09/7,476.96
  6. Step 6: Final answer
    x = 8,237.69

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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.