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Finding the Fourth Proportional to 7,774.74, 11,665.31 and 5,705.28

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Solution

The fourth proportional to 7,774.74, 11,665.31 and 5,705.28 is: 8,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.74 : 11,665.31 = 5,705.28 : x
  2. Step 2: Convert to fraction form
    7,774.74/11,665.31 = 5,705.28/x
  3. Step 3: Cross multiply
    7,774.74x = 11,665.31 × 5,705.28
  4. Step 4: Simplify right side
    7,774.74x = 66,553,831.31
  5. Step 5: Solve for x
    x = 66,553,831.31/7,774.74
  6. Step 6: Final answer
    x = 8,560.26

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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.