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Finding the Fourth Proportional to 10,184.94, 14,051.02 and 6,204.60

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Solution

The fourth proportional to 10,184.94, 14,051.02 and 6,204.60 is: 8,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.94 : 14,051.02 = 6,204.60 : x
  2. Step 2: Convert to fraction form
    10,184.94/14,051.02 = 6,204.60/x
  3. Step 3: Cross multiply
    10,184.94x = 14,051.02 × 6,204.60
  4. Step 4: Simplify right side
    10,184.94x = 87,180,954.81
  5. Step 5: Solve for x
    x = 87,180,954.81/10,184.94
  6. Step 6: Final answer
    x = 8,559.79

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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.