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Finding the Fourth Proportional to 10,374.95, 15,562.43 and 3,798.47

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Solution

The fourth proportional to 10,374.95, 15,562.43 and 3,798.47 is: 5,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.95 : 15,562.43 = 3,798.47 : x
  2. Step 2: Convert to fraction form
    10,374.95/15,562.43 = 3,798.47/x
  3. Step 3: Cross multiply
    10,374.95x = 15,562.43 × 3,798.47
  4. Step 4: Simplify right side
    10,374.95x = 59,113,404.49
  5. Step 5: Solve for x
    x = 59,113,404.49/10,374.95
  6. Step 6: Final answer
    x = 5,697.71

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Why These Related Problems?

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