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Finding the Fourth Proportional to 10,471.24, 15,705.78 and 6,563.80

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Solution

The fourth proportional to 10,471.24, 15,705.78 and 6,563.80 is: 9,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.24 : 15,705.78 = 6,563.80 : x
  2. Step 2: Convert to fraction form
    10,471.24/15,705.78 = 6,563.80/x
  3. Step 3: Cross multiply
    10,471.24x = 15,705.78 × 6,563.80
  4. Step 4: Simplify right side
    10,471.24x = 103,089,598.76
  5. Step 5: Solve for x
    x = 103,089,598.76/10,471.24
  6. Step 6: Final answer
    x = 9,845.02

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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.