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Finding the Fourth Proportional to 7,764.16, 10,714.56 and 4,452.16

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Solution

The fourth proportional to 7,764.16, 10,714.56 and 4,452.16 is: 6,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.16 : 10,714.56 = 4,452.16 : x
  2. Step 2: Convert to fraction form
    7,764.16/10,714.56 = 4,452.16/x
  3. Step 3: Cross multiply
    7,764.16x = 10,714.56 × 4,452.16
  4. Step 4: Simplify right side
    7,764.16x = 47,702,935.45
  5. Step 5: Solve for x
    x = 47,702,935.45/7,764.16
  6. Step 6: Final answer
    x = 6,143.99

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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.