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Finding the Fourth Proportional to 27,780.56, 41,670.72 and 7,004

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Solution

The fourth proportional to 27,780.56, 41,670.72 and 7,004 is: 10,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.56 : 41,670.72 = 7,004 : x
  2. Step 2: Convert to fraction form
    27,780.56/41,670.72 = 7,004/x
  3. Step 3: Cross multiply
    27,780.56x = 41,670.72 × 7,004
  4. Step 4: Simplify right side
    27,780.56x = 291,861,722.88
  5. Step 5: Solve for x
    x = 291,861,722.88/27,780.56
  6. Step 6: Final answer
    x = 10,505.97

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