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Finding the Fourth Proportional to 10,041.05, 13,857.93 and 7,167.57

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Solution

The fourth proportional to 10,041.05, 13,857.93 and 7,167.57 is: 9,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.05 : 13,857.93 = 7,167.57 : x
  2. Step 2: Convert to fraction form
    10,041.05/13,857.93 = 7,167.57/x
  3. Step 3: Cross multiply
    10,041.05x = 13,857.93 × 7,167.57
  4. Step 4: Simplify right side
    10,041.05x = 99,327,683.33
  5. Step 5: Solve for x
    x = 99,327,683.33/10,041.05
  6. Step 6: Final answer
    x = 9,892.16

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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.