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Finding the Fourth Proportional to 13,075.52, 18,045.74 and 7,770.33

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Solution

The fourth proportional to 13,075.52, 18,045.74 and 7,770.33 is: 10,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.52 : 18,045.74 = 7,770.33 : x
  2. Step 2: Convert to fraction form
    13,075.52/18,045.74 = 7,770.33/x
  3. Step 3: Cross multiply
    13,075.52x = 18,045.74 × 7,770.33
  4. Step 4: Simplify right side
    13,075.52x = 140,221,374.32
  5. Step 5: Solve for x
    x = 140,221,374.32/13,075.52
  6. Step 6: Final answer
    x = 10,723.97

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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.