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Finding the Fourth Proportional to 7,719.92, 10,653.36 and 6,291.44

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Solution

The fourth proportional to 7,719.92, 10,653.36 and 6,291.44 is: 8,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.92 : 10,653.36 = 6,291.44 : x
  2. Step 2: Convert to fraction form
    7,719.92/10,653.36 = 6,291.44/x
  3. Step 3: Cross multiply
    7,719.92x = 10,653.36 × 6,291.44
  4. Step 4: Simplify right side
    7,719.92x = 67,024,975.24
  5. Step 5: Solve for x
    x = 67,024,975.24/7,719.92
  6. Step 6: Final answer
    x = 8,682.08

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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.