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Finding the Fourth Proportional to 12,800.64, 17,663.28 and 7,134

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Solution

The fourth proportional to 12,800.64, 17,663.28 and 7,134 is: 9,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.64 : 17,663.28 = 7,134 : x
  2. Step 2: Convert to fraction form
    12,800.64/17,663.28 = 7,134/x
  3. Step 3: Cross multiply
    12,800.64x = 17,663.28 × 7,134
  4. Step 4: Simplify right side
    12,800.64x = 126,009,839.52
  5. Step 5: Solve for x
    x = 126,009,839.52/12,800.64
  6. Step 6: Final answer
    x = 9,844.03

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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.