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Finding the Fourth Proportional to 10,588.50, 15,935.96 and 7,969.58

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Solution

The fourth proportional to 10,588.50, 15,935.96 and 7,969.58 is: 11,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.50 : 15,935.96 = 7,969.58 : x
  2. Step 2: Convert to fraction form
    10,588.50/15,935.96 = 7,969.58/x
  3. Step 3: Cross multiply
    10,588.50x = 15,935.96 × 7,969.58
  4. Step 4: Simplify right side
    10,588.50x = 127,002,788.57
  5. Step 5: Solve for x
    x = 127,002,788.57/10,588.50
  6. Step 6: Final answer
    x = 11,994.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.