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Finding the Fourth Proportional to 10,046.52, 13,832.64 and 8,530.89

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Solution

The fourth proportional to 10,046.52, 13,832.64 and 8,530.89 is: 11,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.52 : 13,832.64 = 8,530.89 : x
  2. Step 2: Convert to fraction form
    10,046.52/13,832.64 = 8,530.89/x
  3. Step 3: Cross multiply
    10,046.52x = 13,832.64 × 8,530.89
  4. Step 4: Simplify right side
    10,046.52x = 118,004,730.25
  5. Step 5: Solve for x
    x = 118,004,730.25/10,046.52
  6. Step 6: Final answer
    x = 11,745.83

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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.