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Finding the Fourth Proportional to 8,588.77, 11,849.80 and 4,811.43

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Solution

The fourth proportional to 8,588.77, 11,849.80 and 4,811.43 is: 6,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.77 : 11,849.80 = 4,811.43 : x
  2. Step 2: Convert to fraction form
    8,588.77/11,849.80 = 4,811.43/x
  3. Step 3: Cross multiply
    8,588.77x = 11,849.80 × 4,811.43
  4. Step 4: Simplify right side
    8,588.77x = 57,014,483.21
  5. Step 5: Solve for x
    x = 57,014,483.21/8,588.77
  6. Step 6: Final answer
    x = 6,638.26

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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.