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Finding the Fourth Proportional to 10,075.44, 15,113.56 and 3,150

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Solution

The fourth proportional to 10,075.44, 15,113.56 and 3,150 is: 4,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.44 : 15,113.56 = 3,150 : x
  2. Step 2: Convert to fraction form
    10,075.44/15,113.56 = 3,150/x
  3. Step 3: Cross multiply
    10,075.44x = 15,113.56 × 3,150
  4. Step 4: Simplify right side
    10,075.44x = 47,607,714
  5. Step 5: Solve for x
    x = 47,607,714/10,075.44
  6. Step 6: Final answer
    x = 4,725.13

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