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Finding the Fourth Proportional to 8,289.36, 12,434.04 and 7,782.48

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Solution

The fourth proportional to 8,289.36, 12,434.04 and 7,782.48 is: 11,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.36 : 12,434.04 = 7,782.48 : x
  2. Step 2: Convert to fraction form
    8,289.36/12,434.04 = 7,782.48/x
  3. Step 3: Cross multiply
    8,289.36x = 12,434.04 × 7,782.48
  4. Step 4: Simplify right side
    8,289.36x = 96,767,667.62
  5. Step 5: Solve for x
    x = 96,767,667.62/8,289.36
  6. Step 6: Final answer
    x = 11,673.72

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