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Finding the Fourth Proportional to 12,089.66, 16,683.45 and 6,784.34

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Solution

The fourth proportional to 12,089.66, 16,683.45 and 6,784.34 is: 9,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.66 : 16,683.45 = 6,784.34 : x
  2. Step 2: Convert to fraction form
    12,089.66/16,683.45 = 6,784.34/x
  3. Step 3: Cross multiply
    12,089.66x = 16,683.45 × 6,784.34
  4. Step 4: Simplify right side
    12,089.66x = 113,186,197.17
  5. Step 5: Solve for x
    x = 113,186,197.17/12,089.66
  6. Step 6: Final answer
    x = 9,362.23

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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.