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Finding the Fourth Proportional to 12,106.06, 16,707.65 and 7,328.61

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Solution

The fourth proportional to 12,106.06, 16,707.65 and 7,328.61 is: 10,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.06 : 16,707.65 = 7,328.61 : x
  2. Step 2: Convert to fraction form
    12,106.06/16,707.65 = 7,328.61/x
  3. Step 3: Cross multiply
    12,106.06x = 16,707.65 × 7,328.61
  4. Step 4: Simplify right side
    12,106.06x = 122,443,814.22
  5. Step 5: Solve for x
    x = 122,443,814.22/12,106.06
  6. Step 6: Final answer
    x = 10,114.26

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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.