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Finding the Fourth Proportional to 12,077.28, 16,670.74 and 7,608.50

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Solution

The fourth proportional to 12,077.28, 16,670.74 and 7,608.50 is: 10,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.28 : 16,670.74 = 7,608.50 : x
  2. Step 2: Convert to fraction form
    12,077.28/16,670.74 = 7,608.50/x
  3. Step 3: Cross multiply
    12,077.28x = 16,670.74 × 7,608.50
  4. Step 4: Simplify right side
    12,077.28x = 126,839,325.29
  5. Step 5: Solve for x
    x = 126,839,325.29/12,077.28
  6. Step 6: Final answer
    x = 10,502.31

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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.