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Finding the Fourth Proportional to 8,434.64, 11,640.12 and 4,709.36

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Solution

The fourth proportional to 8,434.64, 11,640.12 and 4,709.36 is: 6,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.64 : 11,640.12 = 4,709.36 : x
  2. Step 2: Convert to fraction form
    8,434.64/11,640.12 = 4,709.36/x
  3. Step 3: Cross multiply
    8,434.64x = 11,640.12 × 4,709.36
  4. Step 4: Simplify right side
    8,434.64x = 54,817,515.52
  5. Step 5: Solve for x
    x = 54,817,515.52/8,434.64
  6. Step 6: Final answer
    x = 6,499.09

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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.