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Finding the Fourth Proportional to 27,827.60, 41,741.40 and 7,051.10

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Solution

The fourth proportional to 27,827.60, 41,741.40 and 7,051.10 is: 10,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.60 : 41,741.40 = 7,051.10 : x
  2. Step 2: Convert to fraction form
    27,827.60/41,741.40 = 7,051.10/x
  3. Step 3: Cross multiply
    27,827.60x = 41,741.40 × 7,051.10
  4. Step 4: Simplify right side
    27,827.60x = 294,322,785.54
  5. Step 5: Solve for x
    x = 294,322,785.54/27,827.60
  6. Step 6: Final answer
    x = 10,576.65

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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.