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Finding the Fourth Proportional to 12,116.51, 16,721.55 and 6,811.67

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Solution

The fourth proportional to 12,116.51, 16,721.55 and 6,811.67 is: 9,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.51 : 16,721.55 = 6,811.67 : x
  2. Step 2: Convert to fraction form
    12,116.51/16,721.55 = 6,811.67/x
  3. Step 3: Cross multiply
    12,116.51x = 16,721.55 × 6,811.67
  4. Step 4: Simplify right side
    12,116.51x = 113,901,684.84
  5. Step 5: Solve for x
    x = 113,901,684.84/12,116.51
  6. Step 6: Final answer
    x = 9,400.53

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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.