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Finding the Fourth Proportional to 12,106.75, 16,710.96 and 7,390.12

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Solution

The fourth proportional to 12,106.75, 16,710.96 and 7,390.12 is: 10,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.75 : 16,710.96 = 7,390.12 : x
  2. Step 2: Convert to fraction form
    12,106.75/16,710.96 = 7,390.12/x
  3. Step 3: Cross multiply
    12,106.75x = 16,710.96 × 7,390.12
  4. Step 4: Simplify right side
    12,106.75x = 123,495,999.72
  5. Step 5: Solve for x
    x = 123,495,999.72/12,106.75
  6. Step 6: Final answer
    x = 10,200.59

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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.