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Finding the Fourth Proportional to 10,184.00, 14,032.85 and 8,186.54

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Solution

The fourth proportional to 10,184.00, 14,032.85 and 8,186.54 is: 11,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.00 : 14,032.85 = 8,186.54 : x
  2. Step 2: Convert to fraction form
    10,184.00/14,032.85 = 8,186.54/x
  3. Step 3: Cross multiply
    10,184.00x = 14,032.85 × 8,186.54
  4. Step 4: Simplify right side
    10,184.00x = 114,880,376.74
  5. Step 5: Solve for x
    x = 114,880,376.74/10,184.00
  6. Step 6: Final answer
    x = 11,280.48

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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.