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Finding the Fourth Proportional to 8,621.76, 11,873.60 and 7,844.16

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Solution

The fourth proportional to 8,621.76, 11,873.60 and 7,844.16 is: 10,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,621.76 : 11,873.60 = 7,844.16 : x
  2. Step 2: Convert to fraction form
    8,621.76/11,873.60 = 7,844.16/x
  3. Step 3: Cross multiply
    8,621.76x = 11,873.60 × 7,844.16
  4. Step 4: Simplify right side
    8,621.76x = 93,138,418.18
  5. Step 5: Solve for x
    x = 93,138,418.18/8,621.76
  6. Step 6: Final answer
    x = 10,802.72

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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.