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Finding the Fourth Proportional to 7,706.89, 11,553.40 and 2,773.07

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Solution

The fourth proportional to 7,706.89, 11,553.40 and 2,773.07 is: 4,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.89 : 11,553.40 = 2,773.07 : x
  2. Step 2: Convert to fraction form
    7,706.89/11,553.40 = 2,773.07/x
  3. Step 3: Cross multiply
    7,706.89x = 11,553.40 × 2,773.07
  4. Step 4: Simplify right side
    7,706.89x = 32,038,329.17
  5. Step 5: Solve for x
    x = 32,038,329.17/7,706.89
  6. Step 6: Final answer
    x = 4,157.10

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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.