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Finding the Fourth Proportional to 10,069, 15,075.66 and 7,596.32

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Solution

The fourth proportional to 10,069, 15,075.66 and 7,596.32 is: 11,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 15,075.66 = 7,596.32 : x
  2. Step 2: Convert to fraction form
    10,069/15,075.66 = 7,596.32/x
  3. Step 3: Cross multiply
    10,069x = 15,075.66 × 7,596.32
  4. Step 4: Simplify right side
    10,069x = 114,519,537.57
  5. Step 5: Solve for x
    x = 114,519,537.57/10,069
  6. Step 6: Final answer
    x = 11,373.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.