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Finding the Fourth Proportional to 10,570.95, 15,855.17 and 2,780.37

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Solution

The fourth proportional to 10,570.95, 15,855.17 and 2,780.37 is: 4,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.95 : 15,855.17 = 2,780.37 : x
  2. Step 2: Convert to fraction form
    10,570.95/15,855.17 = 2,780.37/x
  3. Step 3: Cross multiply
    10,570.95x = 15,855.17 × 2,780.37
  4. Step 4: Simplify right side
    10,570.95x = 44,083,239.01
  5. Step 5: Solve for x
    x = 44,083,239.01/10,570.95
  6. Step 6: Final answer
    x = 4,170.22

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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.