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Finding the Fourth Proportional to 12,106.88, 16,709.04 and 7,390.16

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Solution

The fourth proportional to 12,106.88, 16,709.04 and 7,390.16 is: 10,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.88 : 16,709.04 = 7,390.16 : x
  2. Step 2: Convert to fraction form
    12,106.88/16,709.04 = 7,390.16/x
  3. Step 3: Cross multiply
    12,106.88x = 16,709.04 × 7,390.16
  4. Step 4: Simplify right side
    12,106.88x = 123,482,479.05
  5. Step 5: Solve for x
    x = 123,482,479.05/12,106.88
  6. Step 6: Final answer
    x = 10,199.36

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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.