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Finding the Fourth Proportional to 10,512.96, 15,762.24 and 4,666.56

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Solution

The fourth proportional to 10,512.96, 15,762.24 and 4,666.56 is: 6,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.96 : 15,762.24 = 4,666.56 : x
  2. Step 2: Convert to fraction form
    10,512.96/15,762.24 = 4,666.56/x
  3. Step 3: Cross multiply
    10,512.96x = 15,762.24 × 4,666.56
  4. Step 4: Simplify right side
    10,512.96x = 73,555,438.69
  5. Step 5: Solve for x
    x = 73,555,438.69/10,512.96
  6. Step 6: Final answer
    x = 6,996.64

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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.