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Finding the Fourth Proportional to 8,686.86, 11,977.11 and 5,887.50

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Solution

The fourth proportional to 8,686.86, 11,977.11 and 5,887.50 is: 8,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.86 : 11,977.11 = 5,887.50 : x
  2. Step 2: Convert to fraction form
    8,686.86/11,977.11 = 5,887.50/x
  3. Step 3: Cross multiply
    8,686.86x = 11,977.11 × 5,887.50
  4. Step 4: Simplify right side
    8,686.86x = 70,515,235.13
  5. Step 5: Solve for x
    x = 70,515,235.13/8,686.86
  6. Step 6: Final answer
    x = 8,117.46

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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.