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Finding the Fourth Proportional to 10,112.58, 13,956.71 and 6,336.77

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Solution

The fourth proportional to 10,112.58, 13,956.71 and 6,336.77 is: 8,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.58 : 13,956.71 = 6,336.77 : x
  2. Step 2: Convert to fraction form
    10,112.58/13,956.71 = 6,336.77/x
  3. Step 3: Cross multiply
    10,112.58x = 13,956.71 × 6,336.77
  4. Step 4: Simplify right side
    10,112.58x = 88,440,359.76
  5. Step 5: Solve for x
    x = 88,440,359.76/10,112.58
  6. Step 6: Final answer
    x = 8,745.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.