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Finding the Fourth Proportional to 27,782.56, 41,673.72 and 7,006

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Solution

The fourth proportional to 27,782.56, 41,673.72 and 7,006 is: 10,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.56 : 41,673.72 = 7,006 : x
  2. Step 2: Convert to fraction form
    27,782.56/41,673.72 = 7,006/x
  3. Step 3: Cross multiply
    27,782.56x = 41,673.72 × 7,006
  4. Step 4: Simplify right side
    27,782.56x = 291,966,082.32
  5. Step 5: Solve for x
    x = 291,966,082.32/27,782.56
  6. Step 6: Final answer
    x = 10,508.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.