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Finding the Fourth Proportional to 7,768.32, 10,714.12 and 5,495.64

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Solution

The fourth proportional to 7,768.32, 10,714.12 and 5,495.64 is: 7,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.32 : 10,714.12 = 5,495.64 : x
  2. Step 2: Convert to fraction form
    7,768.32/10,714.12 = 5,495.64/x
  3. Step 3: Cross multiply
    7,768.32x = 10,714.12 × 5,495.64
  4. Step 4: Simplify right side
    7,768.32x = 58,880,946.44
  5. Step 5: Solve for x
    x = 58,880,946.44/7,768.32
  6. Step 6: Final answer
    x = 7,579.62

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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.