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Finding the Fourth Proportional to 11,860.41, 16,370.78 and 7,830.18

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Solution

The fourth proportional to 11,860.41, 16,370.78 and 7,830.18 is: 10,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.41 : 16,370.78 = 7,830.18 : x
  2. Step 2: Convert to fraction form
    11,860.41/16,370.78 = 7,830.18/x
  3. Step 3: Cross multiply
    11,860.41x = 16,370.78 × 7,830.18
  4. Step 4: Simplify right side
    11,860.41x = 128,186,114.99
  5. Step 5: Solve for x
    x = 128,186,114.99/11,860.41
  6. Step 6: Final answer
    x = 10,807.90

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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.