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Finding the Fourth Proportional to 27,506.76, 41,261.72 and 7,783.66

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Solution

The fourth proportional to 27,506.76, 41,261.72 and 7,783.66 is: 11,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.76 : 41,261.72 = 7,783.66 : x
  2. Step 2: Convert to fraction form
    27,506.76/41,261.72 = 7,783.66/x
  3. Step 3: Cross multiply
    27,506.76x = 41,261.72 × 7,783.66
  4. Step 4: Simplify right side
    27,506.76x = 321,167,199.50
  5. Step 5: Solve for x
    x = 321,167,199.50/27,506.76
  6. Step 6: Final answer
    x = 11,675.94

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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.