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Finding the Fourth Proportional to 8,297.32, 11,444.32 and 5,780.28

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Solution

The fourth proportional to 8,297.32, 11,444.32 and 5,780.28 is: 7,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.32 : 11,444.32 = 5,780.28 : x
  2. Step 2: Convert to fraction form
    8,297.32/11,444.32 = 5,780.28/x
  3. Step 3: Cross multiply
    8,297.32x = 11,444.32 × 5,780.28
  4. Step 4: Simplify right side
    8,297.32x = 66,151,374.01
  5. Step 5: Solve for x
    x = 66,151,374.01/8,297.32
  6. Step 6: Final answer
    x = 7,972.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.