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Finding the Fourth Proportional to 12,089.54, 16,683.51 and 6,784.34

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Solution

The fourth proportional to 12,089.54, 16,683.51 and 6,784.34 is: 9,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.54 : 16,683.51 = 6,784.34 : x
  2. Step 2: Convert to fraction form
    12,089.54/16,683.51 = 6,784.34/x
  3. Step 3: Cross multiply
    12,089.54x = 16,683.51 × 6,784.34
  4. Step 4: Simplify right side
    12,089.54x = 113,186,604.23
  5. Step 5: Solve for x
    x = 113,186,604.23/12,089.54
  6. Step 6: Final answer
    x = 9,362.36

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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.