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Finding the Fourth Proportional to 27,506.94, 41,260.41 and 7,785.60

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Solution

The fourth proportional to 27,506.94, 41,260.41 and 7,785.60 is: 11,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.94 : 41,260.41 = 7,785.60 : x
  2. Step 2: Convert to fraction form
    27,506.94/41,260.41 = 7,785.60/x
  3. Step 3: Cross multiply
    27,506.94x = 41,260.41 × 7,785.60
  4. Step 4: Simplify right side
    27,506.94x = 321,237,048.10
  5. Step 5: Solve for x
    x = 321,237,048.10/27,506.94
  6. Step 6: Final answer
    x = 11,678.40

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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.