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Finding the Fourth Proportional to 10,089.77, 13,923.63 and 6,110.24

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Solution

The fourth proportional to 10,089.77, 13,923.63 and 6,110.24 is: 8,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.77 : 13,923.63 = 6,110.24 : x
  2. Step 2: Convert to fraction form
    10,089.77/13,923.63 = 6,110.24/x
  3. Step 3: Cross multiply
    10,089.77x = 13,923.63 × 6,110.24
  4. Step 4: Simplify right side
    10,089.77x = 85,076,651.35
  5. Step 5: Solve for x
    x = 85,076,651.35/10,089.77
  6. Step 6: Final answer
    x = 8,431.98

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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.