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Finding the Fourth Proportional to 7,633.59, 11,433.93 and 5,154.78

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Solution

The fourth proportional to 7,633.59, 11,433.93 and 5,154.78 is: 7,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.59 : 11,433.93 = 5,154.78 : x
  2. Step 2: Convert to fraction form
    7,633.59/11,433.93 = 5,154.78/x
  3. Step 3: Cross multiply
    7,633.59x = 11,433.93 × 5,154.78
  4. Step 4: Simplify right side
    7,633.59x = 58,939,393.69
  5. Step 5: Solve for x
    x = 58,939,393.69/7,633.59
  6. Step 6: Final answer
    x = 7,721.06

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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.