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Finding the Fourth Proportional to 10,406.12, 15,607.60 and 3,830.74

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Solution

The fourth proportional to 10,406.12, 15,607.60 and 3,830.74 is: 5,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.12 : 15,607.60 = 3,830.74 : x
  2. Step 2: Convert to fraction form
    10,406.12/15,607.60 = 3,830.74/x
  3. Step 3: Cross multiply
    10,406.12x = 15,607.60 × 3,830.74
  4. Step 4: Simplify right side
    10,406.12x = 59,788,609.03
  5. Step 5: Solve for x
    x = 59,788,609.03/10,406.12
  6. Step 6: Final answer
    x = 5,745.53

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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.