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Finding the Fourth Proportional to 10,408.56, 15,605.54 and 3,833.90

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Solution

The fourth proportional to 10,408.56, 15,605.54 and 3,833.90 is: 5,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.56 : 15,605.54 = 3,833.90 : x
  2. Step 2: Convert to fraction form
    10,408.56/15,605.54 = 3,833.90/x
  3. Step 3: Cross multiply
    10,408.56x = 15,605.54 × 3,833.90
  4. Step 4: Simplify right side
    10,408.56x = 59,830,079.81
  5. Step 5: Solve for x
    x = 59,830,079.81/10,408.56
  6. Step 6: Final answer
    x = 5,748.16

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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.