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Finding the Fourth Proportional to 11,830.70, 16,329.12 and 7,851.98

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Solution

The fourth proportional to 11,830.70, 16,329.12 and 7,851.98 is: 10,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.70 : 16,329.12 = 7,851.98 : x
  2. Step 2: Convert to fraction form
    11,830.70/16,329.12 = 7,851.98/x
  3. Step 3: Cross multiply
    11,830.70x = 16,329.12 × 7,851.98
  4. Step 4: Simplify right side
    11,830.70x = 128,215,923.66
  5. Step 5: Solve for x
    x = 128,215,923.66/11,830.70
  6. Step 6: Final answer
    x = 10,837.56

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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.