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Finding the Fourth Proportional to 10,507.89, 15,757.91 and 3,486.60

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Solution

The fourth proportional to 10,507.89, 15,757.91 and 3,486.60 is: 5,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.89 : 15,757.91 = 3,486.60 : x
  2. Step 2: Convert to fraction form
    10,507.89/15,757.91 = 3,486.60/x
  3. Step 3: Cross multiply
    10,507.89x = 15,757.91 × 3,486.60
  4. Step 4: Simplify right side
    10,507.89x = 54,941,529.01
  5. Step 5: Solve for x
    x = 54,941,529.01/10,507.89
  6. Step 6: Final answer
    x = 5,228.60

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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.