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Finding the Fourth Proportional to 10,586.25, 15,883.70 and 4,014.45

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Solution

The fourth proportional to 10,586.25, 15,883.70 and 4,014.45 is: 6,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.25 : 15,883.70 = 4,014.45 : x
  2. Step 2: Convert to fraction form
    10,586.25/15,883.70 = 4,014.45/x
  3. Step 3: Cross multiply
    10,586.25x = 15,883.70 × 4,014.45
  4. Step 4: Simplify right side
    10,586.25x = 63,764,299.39
  5. Step 5: Solve for x
    x = 63,764,299.39/10,586.25
  6. Step 6: Final answer
    x = 6,023.31

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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.