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Finding the Fourth Proportional to 7,775.64, 11,663.64 and 7,173.90

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Solution

The fourth proportional to 7,775.64, 11,663.64 and 7,173.90 is: 10,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.64 : 11,663.64 = 7,173.90 : x
  2. Step 2: Convert to fraction form
    7,775.64/11,663.64 = 7,173.90/x
  3. Step 3: Cross multiply
    7,775.64x = 11,663.64 × 7,173.90
  4. Step 4: Simplify right side
    7,775.64x = 83,673,787.00
  5. Step 5: Solve for x
    x = 83,673,787.00/7,775.64
  6. Step 6: Final answer
    x = 10,761.02

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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.