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Finding the Fourth Proportional to 12,889.72, 17,784.58 and 7,583.51

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Solution

The fourth proportional to 12,889.72, 17,784.58 and 7,583.51 is: 10,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.72 : 17,784.58 = 7,583.51 : x
  2. Step 2: Convert to fraction form
    12,889.72/17,784.58 = 7,583.51/x
  3. Step 3: Cross multiply
    12,889.72x = 17,784.58 × 7,583.51
  4. Step 4: Simplify right side
    12,889.72x = 134,869,540.28
  5. Step 5: Solve for x
    x = 134,869,540.28/12,889.72
  6. Step 6: Final answer
    x = 10,463.34

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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.