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Finding the Fourth Proportional to 12,086.39, 16,683.35 and 7,309.01

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Solution

The fourth proportional to 12,086.39, 16,683.35 and 7,309.01 is: 10,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.39 : 16,683.35 = 7,309.01 : x
  2. Step 2: Convert to fraction form
    12,086.39/16,683.35 = 7,309.01/x
  3. Step 3: Cross multiply
    12,086.39x = 16,683.35 × 7,309.01
  4. Step 4: Simplify right side
    12,086.39x = 121,938,652.02
  5. Step 5: Solve for x
    x = 121,938,652.02/12,086.39
  6. Step 6: Final answer
    x = 10,088.93

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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.