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Finding the Fourth Proportional to 10,571.56, 15,866.86 and 5,645.40

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Solution

The fourth proportional to 10,571.56, 15,866.86 and 5,645.40 is: 8,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.56 : 15,866.86 = 5,645.40 : x
  2. Step 2: Convert to fraction form
    10,571.56/15,866.86 = 5,645.40/x
  3. Step 3: Cross multiply
    10,571.56x = 15,866.86 × 5,645.40
  4. Step 4: Simplify right side
    10,571.56x = 89,574,771.44
  5. Step 5: Solve for x
    x = 89,574,771.44/10,571.56
  6. Step 6: Final answer
    x = 8,473.18

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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.