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Finding the Fourth Proportional to 12,109.79, 16,710.72 and 7,075.43

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Solution

The fourth proportional to 12,109.79, 16,710.72 and 7,075.43 is: 9,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.79 : 16,710.72 = 7,075.43 : x
  2. Step 2: Convert to fraction form
    12,109.79/16,710.72 = 7,075.43/x
  3. Step 3: Cross multiply
    12,109.79x = 16,710.72 × 7,075.43
  4. Step 4: Simplify right side
    12,109.79x = 118,235,446.06
  5. Step 5: Solve for x
    x = 118,235,446.06/12,109.79
  6. Step 6: Final answer
    x = 9,763.63

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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.