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Finding the Fourth Proportional to 8,256.71, 11,394.26 and 4,720

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Solution

The fourth proportional to 8,256.71, 11,394.26 and 4,720 is: 6,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.71 : 11,394.26 = 4,720 : x
  2. Step 2: Convert to fraction form
    8,256.71/11,394.26 = 4,720/x
  3. Step 3: Cross multiply
    8,256.71x = 11,394.26 × 4,720
  4. Step 4: Simplify right side
    8,256.71x = 53,780,907.20
  5. Step 5: Solve for x
    x = 53,780,907.20/8,256.71
  6. Step 6: Final answer
    x = 6,513.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.