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Finding the Fourth Proportional to 11,857.86, 16,364.80 and 6,823.70

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Solution

The fourth proportional to 11,857.86, 16,364.80 and 6,823.70 is: 9,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.86 : 16,364.80 = 6,823.70 : x
  2. Step 2: Convert to fraction form
    11,857.86/16,364.80 = 6,823.70/x
  3. Step 3: Cross multiply
    11,857.86x = 16,364.80 × 6,823.70
  4. Step 4: Simplify right side
    11,857.86x = 111,668,485.76
  5. Step 5: Solve for x
    x = 111,668,485.76/11,857.86
  6. Step 6: Final answer
    x = 9,417.25

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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.