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Finding the Fourth Proportional to 8,336.11, 11,509.86 and 5,153.77

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Solution

The fourth proportional to 8,336.11, 11,509.86 and 5,153.77 is: 7,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.11 : 11,509.86 = 5,153.77 : x
  2. Step 2: Convert to fraction form
    8,336.11/11,509.86 = 5,153.77/x
  3. Step 3: Cross multiply
    8,336.11x = 11,509.86 × 5,153.77
  4. Step 4: Simplify right side
    8,336.11x = 59,319,158.29
  5. Step 5: Solve for x
    x = 59,319,158.29/8,336.11
  6. Step 6: Final answer
    x = 7,115.93

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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.