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Finding the Fourth Proportional to 7,469.64, 10,302.78 and 6,342.76

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Solution

The fourth proportional to 7,469.64, 10,302.78 and 6,342.76 is: 8,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.64 : 10,302.78 = 6,342.76 : x
  2. Step 2: Convert to fraction form
    7,469.64/10,302.78 = 6,342.76/x
  3. Step 3: Cross multiply
    7,469.64x = 10,302.78 × 6,342.76
  4. Step 4: Simplify right side
    7,469.64x = 65,348,060.87
  5. Step 5: Solve for x
    x = 65,348,060.87/7,469.64
  6. Step 6: Final answer
    x = 8,748.49

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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.