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Finding the Fourth Proportional to 11,957.30, 16,503.80 and 7,758.26

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Solution

The fourth proportional to 11,957.30, 16,503.80 and 7,758.26 is: 10,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.30 : 16,503.80 = 7,758.26 : x
  2. Step 2: Convert to fraction form
    11,957.30/16,503.80 = 7,758.26/x
  3. Step 3: Cross multiply
    11,957.30x = 16,503.80 × 7,758.26
  4. Step 4: Simplify right side
    11,957.30x = 128,040,771.39
  5. Step 5: Solve for x
    x = 128,040,771.39/11,957.30
  6. Step 6: Final answer
    x = 10,708.17

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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.