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Finding the Fourth Proportional to 10,075.51, 13,903.91 and 5,768.46

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Solution

The fourth proportional to 10,075.51, 13,903.91 and 5,768.46 is: 7,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.51 : 13,903.91 = 5,768.46 : x
  2. Step 2: Convert to fraction form
    10,075.51/13,903.91 = 5,768.46/x
  3. Step 3: Cross multiply
    10,075.51x = 13,903.91 × 5,768.46
  4. Step 4: Simplify right side
    10,075.51x = 80,204,173.92
  5. Step 5: Solve for x
    x = 80,204,173.92/10,075.51
  6. Step 6: Final answer
    x = 7,960.31

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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.