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Finding the Fourth Proportional to 10,144.68, 15,210.14 and 3,570

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Solution

The fourth proportional to 10,144.68, 15,210.14 and 3,570 is: 5,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.68 : 15,210.14 = 3,570 : x
  2. Step 2: Convert to fraction form
    10,144.68/15,210.14 = 3,570/x
  3. Step 3: Cross multiply
    10,144.68x = 15,210.14 × 3,570
  4. Step 4: Simplify right side
    10,144.68x = 54,300,181.95
  5. Step 5: Solve for x
    x = 54,300,181.95/10,144.68
  6. Step 6: Final answer
    x = 5,352.58

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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.