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Finding the Fourth Proportional to 11,645.40, 16,075.62 and 6,930.12

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Solution

The fourth proportional to 11,645.40, 16,075.62 and 6,930.12 is: 9,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.40 : 16,075.62 = 6,930.12 : x
  2. Step 2: Convert to fraction form
    11,645.40/16,075.62 = 6,930.12/x
  3. Step 3: Cross multiply
    11,645.40x = 16,075.62 × 6,930.12
  4. Step 4: Simplify right side
    11,645.40x = 111,405,975.67
  5. Step 5: Solve for x
    x = 111,405,975.67/11,645.40
  6. Step 6: Final answer
    x = 9,566.52

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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.