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Finding the Fourth Proportional to 7,719.65, 10,653.16 and 4,182.87

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Solution

The fourth proportional to 7,719.65, 10,653.16 and 4,182.87 is: 5,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.65 : 10,653.16 = 4,182.87 : x
  2. Step 2: Convert to fraction form
    7,719.65/10,653.16 = 4,182.87/x
  3. Step 3: Cross multiply
    7,719.65x = 10,653.16 × 4,182.87
  4. Step 4: Simplify right side
    7,719.65x = 44,560,772.91
  5. Step 5: Solve for x
    x = 44,560,772.91/7,719.65
  6. Step 6: Final answer
    x = 5,772.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.