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Finding the Fourth Proportional to 7,438.33, 11,149.93 and 4,666.93

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Solution

The fourth proportional to 7,438.33, 11,149.93 and 4,666.93 is: 6,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.33 : 11,149.93 = 4,666.93 : x
  2. Step 2: Convert to fraction form
    7,438.33/11,149.93 = 4,666.93/x
  3. Step 3: Cross multiply
    7,438.33x = 11,149.93 × 4,666.93
  4. Step 4: Simplify right side
    7,438.33x = 52,035,942.81
  5. Step 5: Solve for x
    x = 52,035,942.81/7,438.33
  6. Step 6: Final answer
    x = 6,995.65

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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.