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Finding the Fourth Proportional to 12,283.81, 16,950.84 and 6,907.07

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Solution

The fourth proportional to 12,283.81, 16,950.84 and 6,907.07 is: 9,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.81 : 16,950.84 = 6,907.07 : x
  2. Step 2: Convert to fraction form
    12,283.81/16,950.84 = 6,907.07/x
  3. Step 3: Cross multiply
    12,283.81x = 16,950.84 × 6,907.07
  4. Step 4: Simplify right side
    12,283.81x = 117,080,638.44
  5. Step 5: Solve for x
    x = 117,080,638.44/12,283.81
  6. Step 6: Final answer
    x = 9,531.30

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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.