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Finding the Fourth Proportional to 8,773.64, 13,160.52 and 3,509.09

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Solution

The fourth proportional to 8,773.64, 13,160.52 and 3,509.09 is: 5,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.64 : 13,160.52 = 3,509.09 : x
  2. Step 2: Convert to fraction form
    8,773.64/13,160.52 = 3,509.09/x
  3. Step 3: Cross multiply
    8,773.64x = 13,160.52 × 3,509.09
  4. Step 4: Simplify right side
    8,773.64x = 46,181,431.58
  5. Step 5: Solve for x
    x = 46,181,431.58/8,773.64
  6. Step 6: Final answer
    x = 5,263.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.