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Finding the Fourth Proportional to 27,415.39, 41,125.66 and 7,693.86

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Solution

The fourth proportional to 27,415.39, 41,125.66 and 7,693.86 is: 11,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.39 : 41,125.66 = 7,693.86 : x
  2. Step 2: Convert to fraction form
    27,415.39/41,125.66 = 7,693.86/x
  3. Step 3: Cross multiply
    27,415.39x = 41,125.66 × 7,693.86
  4. Step 4: Simplify right side
    27,415.39x = 316,415,070.45
  5. Step 5: Solve for x
    x = 316,415,070.45/27,415.39
  6. Step 6: Final answer
    x = 11,541.51

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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.