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Finding the Fourth Proportional to 11,885.64, 16,402.43 and 7,110.51

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Solution

The fourth proportional to 11,885.64, 16,402.43 and 7,110.51 is: 9,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.64 : 16,402.43 = 7,110.51 : x
  2. Step 2: Convert to fraction form
    11,885.64/16,402.43 = 7,110.51/x
  3. Step 3: Cross multiply
    11,885.64x = 16,402.43 × 7,110.51
  4. Step 4: Simplify right side
    11,885.64x = 116,629,606.99
  5. Step 5: Solve for x
    x = 116,629,606.99/11,885.64
  6. Step 6: Final answer
    x = 9,812.65

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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.