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Finding the Fourth Proportional to 10,203.24, 14,076.86 and 6,668.50

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Solution

The fourth proportional to 10,203.24, 14,076.86 and 6,668.50 is: 9,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.24 : 14,076.86 = 6,668.50 : x
  2. Step 2: Convert to fraction form
    10,203.24/14,076.86 = 6,668.50/x
  3. Step 3: Cross multiply
    10,203.24x = 14,076.86 × 6,668.50
  4. Step 4: Simplify right side
    10,203.24x = 93,871,540.91
  5. Step 5: Solve for x
    x = 93,871,540.91/10,203.24
  6. Step 6: Final answer
    x = 9,200.17

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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.