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Finding the Fourth Proportional to 10,507.72, 15,763.14 and 3,580.60

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Solution

The fourth proportional to 10,507.72, 15,763.14 and 3,580.60 is: 5,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.72 : 15,763.14 = 3,580.60 : x
  2. Step 2: Convert to fraction form
    10,507.72/15,763.14 = 3,580.60/x
  3. Step 3: Cross multiply
    10,507.72x = 15,763.14 × 3,580.60
  4. Step 4: Simplify right side
    10,507.72x = 56,441,499.08
  5. Step 5: Solve for x
    x = 56,441,499.08/10,507.72
  6. Step 6: Final answer
    x = 5,371.43

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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.