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Finding the Fourth Proportional to 12,095.61, 18,150.42 and 5,075

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Solution

The fourth proportional to 12,095.61, 18,150.42 and 5,075 is: 7,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.61 : 18,150.42 = 5,075 : x
  2. Step 2: Convert to fraction form
    12,095.61/18,150.42 = 5,075/x
  3. Step 3: Cross multiply
    12,095.61x = 18,150.42 × 5,075
  4. Step 4: Simplify right side
    12,095.61x = 92,113,381.50
  5. Step 5: Solve for x
    x = 92,113,381.50/12,095.61
  6. Step 6: Final answer
    x = 7,615.44

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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.