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Finding the Fourth Proportional to 7,773.01, 11,657.81 and 3,092.15

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Solution

The fourth proportional to 7,773.01, 11,657.81 and 3,092.15 is: 4,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.01 : 11,657.81 = 3,092.15 : x
  2. Step 2: Convert to fraction form
    7,773.01/11,657.81 = 3,092.15/x
  3. Step 3: Cross multiply
    7,773.01x = 11,657.81 × 3,092.15
  4. Step 4: Simplify right side
    7,773.01x = 36,047,683.89
  5. Step 5: Solve for x
    x = 36,047,683.89/7,773.01
  6. Step 6: Final answer
    x = 4,637.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.