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Finding the Fourth Proportional to 10,553.78, 15,830.82 and 2,762.59

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Solution

The fourth proportional to 10,553.78, 15,830.82 and 2,762.59 is: 4,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.78 : 15,830.82 = 2,762.59 : x
  2. Step 2: Convert to fraction form
    10,553.78/15,830.82 = 2,762.59/x
  3. Step 3: Cross multiply
    10,553.78x = 15,830.82 × 2,762.59
  4. Step 4: Simplify right side
    10,553.78x = 43,734,065.02
  5. Step 5: Solve for x
    x = 43,734,065.02/10,553.78
  6. Step 6: Final answer
    x = 4,143.92

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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.