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Finding the Fourth Proportional to 27,160.64, 40,741.00 and 7,439.37

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Solution

The fourth proportional to 27,160.64, 40,741.00 and 7,439.37 is: 11,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160.64 : 40,741.00 = 7,439.37 : x
  2. Step 2: Convert to fraction form
    27,160.64/40,741.00 = 7,439.37/x
  3. Step 3: Cross multiply
    27,160.64x = 40,741.00 × 7,439.37
  4. Step 4: Simplify right side
    27,160.64x = 303,087,354.57
  5. Step 5: Solve for x
    x = 303,087,354.57/27,160.64
  6. Step 6: Final answer
    x = 11,159.06

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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.