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Finding the Fourth Proportional to 7,719.66, 10,653.12 and 4,182.87

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Solution

The fourth proportional to 7,719.66, 10,653.12 and 4,182.87 is: 5,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.66 : 10,653.12 = 4,182.87 : x
  2. Step 2: Convert to fraction form
    7,719.66/10,653.12 = 4,182.87/x
  3. Step 3: Cross multiply
    7,719.66x = 10,653.12 × 4,182.87
  4. Step 4: Simplify right side
    7,719.66x = 44,560,616.05
  5. Step 5: Solve for x
    x = 44,560,616.05/7,719.66
  6. Step 6: Final answer
    x = 5,772.35

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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.