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Finding the Fourth Proportional to 11,812.96, 16,301.32 and 6,507.64

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Solution

The fourth proportional to 11,812.96, 16,301.32 and 6,507.64 is: 8,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.96 : 16,301.32 = 6,507.64 : x
  2. Step 2: Convert to fraction form
    11,812.96/16,301.32 = 6,507.64/x
  3. Step 3: Cross multiply
    11,812.96x = 16,301.32 × 6,507.64
  4. Step 4: Simplify right side
    11,812.96x = 106,083,122.08
  5. Step 5: Solve for x
    x = 106,083,122.08/11,812.96
  6. Step 6: Final answer
    x = 8,980.23

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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.