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Finding the Fourth Proportional to 10,924, 15,075.12 and 5,956

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Solution

The fourth proportional to 10,924, 15,075.12 and 5,956 is: 8,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924 : 15,075.12 = 5,956 : x
  2. Step 2: Convert to fraction form
    10,924/15,075.12 = 5,956/x
  3. Step 3: Cross multiply
    10,924x = 15,075.12 × 5,956
  4. Step 4: Simplify right side
    10,924x = 89,787,414.72
  5. Step 5: Solve for x
    x = 89,787,414.72/10,924
  6. Step 6: Final answer
    x = 8,219.28

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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.