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Finding the Fourth Proportional to 7,484.89, 11,207.24 and 4,188.59

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Solution

The fourth proportional to 7,484.89, 11,207.24 and 4,188.59 is: 6,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.89 : 11,207.24 = 4,188.59 : x
  2. Step 2: Convert to fraction form
    7,484.89/11,207.24 = 4,188.59/x
  3. Step 3: Cross multiply
    7,484.89x = 11,207.24 × 4,188.59
  4. Step 4: Simplify right side
    7,484.89x = 46,942,512.45
  5. Step 5: Solve for x
    x = 46,942,512.45/7,484.89
  6. Step 6: Final answer
    x = 6,271.64

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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.