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Finding the Fourth Proportional to 8,433.54, 11,653.74 and 7,310.88

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Solution

The fourth proportional to 8,433.54, 11,653.74 and 7,310.88 is: 10,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.54 : 11,653.74 = 7,310.88 : x
  2. Step 2: Convert to fraction form
    8,433.54/11,653.74 = 7,310.88/x
  3. Step 3: Cross multiply
    8,433.54x = 11,653.74 × 7,310.88
  4. Step 4: Simplify right side
    8,433.54x = 85,199,094.69
  5. Step 5: Solve for x
    x = 85,199,094.69/8,433.54
  6. Step 6: Final answer
    x = 10,102.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.