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Finding the Fourth Proportional to 8,762.64, 13,148.97 and 3,215.25

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Solution

The fourth proportional to 8,762.64, 13,148.97 and 3,215.25 is: 4,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.64 : 13,148.97 = 3,215.25 : x
  2. Step 2: Convert to fraction form
    8,762.64/13,148.97 = 3,215.25/x
  3. Step 3: Cross multiply
    8,762.64x = 13,148.97 × 3,215.25
  4. Step 4: Simplify right side
    8,762.64x = 42,277,225.79
  5. Step 5: Solve for x
    x = 42,277,225.79/8,762.64
  6. Step 6: Final answer
    x = 4,824.71

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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.