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Finding the Fourth Proportional to 11,415.78, 17,125.47 and 4,842

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Solution

The fourth proportional to 11,415.78, 17,125.47 and 4,842 is: 7,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.78 : 17,125.47 = 4,842 : x
  2. Step 2: Convert to fraction form
    11,415.78/17,125.47 = 4,842/x
  3. Step 3: Cross multiply
    11,415.78x = 17,125.47 × 4,842
  4. Step 4: Simplify right side
    11,415.78x = 82,921,525.74
  5. Step 5: Solve for x
    x = 82,921,525.74/11,415.78
  6. Step 6: Final answer
    x = 7,263.76

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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.