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Finding the Fourth Proportional to 7,706.02, 11,503.26 and 6,771.84

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Solution

The fourth proportional to 7,706.02, 11,503.26 and 6,771.84 is: 10,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.02 : 11,503.26 = 6,771.84 : x
  2. Step 2: Convert to fraction form
    7,706.02/11,503.26 = 6,771.84/x
  3. Step 3: Cross multiply
    7,706.02x = 11,503.26 × 6,771.84
  4. Step 4: Simplify right side
    7,706.02x = 77,898,236.20
  5. Step 5: Solve for x
    x = 77,898,236.20/7,706.02
  6. Step 6: Final answer
    x = 10,108.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.