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Finding the Fourth Proportional to 12,106.34, 16,709.91 and 6,802.86

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Solution

The fourth proportional to 12,106.34, 16,709.91 and 6,802.86 is: 9,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.34 : 16,709.91 = 6,802.86 : x
  2. Step 2: Convert to fraction form
    12,106.34/16,709.91 = 6,802.86/x
  3. Step 3: Cross multiply
    12,106.34x = 16,709.91 × 6,802.86
  4. Step 4: Simplify right side
    12,106.34x = 113,675,178.34
  5. Step 5: Solve for x
    x = 113,675,178.34/12,106.34
  6. Step 6: Final answer
    x = 9,389.73

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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.