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Finding the Fourth Proportional to 8,588.63, 11,852.46 and 4,811.77

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Solution

The fourth proportional to 8,588.63, 11,852.46 and 4,811.77 is: 6,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.63 : 11,852.46 = 4,811.77 : x
  2. Step 2: Convert to fraction form
    8,588.63/11,852.46 = 4,811.77/x
  3. Step 3: Cross multiply
    8,588.63x = 11,852.46 × 4,811.77
  4. Step 4: Simplify right side
    8,588.63x = 57,031,311.45
  5. Step 5: Solve for x
    x = 57,031,311.45/8,588.63
  6. Step 6: Final answer
    x = 6,640.33

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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.