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Finding the Fourth Proportional to 7,338.81, 11,000.98 and 4,698.80

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Solution

The fourth proportional to 7,338.81, 11,000.98 and 4,698.80 is: 7,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.81 : 11,000.98 = 4,698.80 : x
  2. Step 2: Convert to fraction form
    7,338.81/11,000.98 = 4,698.80/x
  3. Step 3: Cross multiply
    7,338.81x = 11,000.98 × 4,698.80
  4. Step 4: Simplify right side
    7,338.81x = 51,691,404.82
  5. Step 5: Solve for x
    x = 51,691,404.82/7,338.81
  6. Step 6: Final answer
    x = 7,043.57

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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.