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Finding the Fourth Proportional to 13,003.16, 17,938.01 and 7,965.77

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Solution

The fourth proportional to 13,003.16, 17,938.01 and 7,965.77 is: 10,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.16 : 17,938.01 = 7,965.77 : x
  2. Step 2: Convert to fraction form
    13,003.16/17,938.01 = 7,965.77/x
  3. Step 3: Cross multiply
    13,003.16x = 17,938.01 × 7,965.77
  4. Step 4: Simplify right side
    13,003.16x = 142,889,932.40
  5. Step 5: Solve for x
    x = 142,889,932.40/13,003.16
  6. Step 6: Final answer
    x = 10,988.87

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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.