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Finding the Fourth Proportional to 27,376.13, 41,057.92 and 7,656.08

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Solution

The fourth proportional to 27,376.13, 41,057.92 and 7,656.08 is: 11,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,376.13 : 41,057.92 = 7,656.08 : x
  2. Step 2: Convert to fraction form
    27,376.13/41,057.92 = 7,656.08/x
  3. Step 3: Cross multiply
    27,376.13x = 41,057.92 × 7,656.08
  4. Step 4: Simplify right side
    27,376.13x = 314,342,635.34
  5. Step 5: Solve for x
    x = 314,342,635.34/27,376.13
  6. Step 6: Final answer
    x = 11,482.36

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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.