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Finding the Fourth Proportional to 8,256.29, 11,393.51 and 4,671.20

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Solution

The fourth proportional to 8,256.29, 11,393.51 and 4,671.20 is: 6,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.29 : 11,393.51 = 4,671.20 : x
  2. Step 2: Convert to fraction form
    8,256.29/11,393.51 = 4,671.20/x
  3. Step 3: Cross multiply
    8,256.29x = 11,393.51 × 4,671.20
  4. Step 4: Simplify right side
    8,256.29x = 53,221,306.94
  5. Step 5: Solve for x
    x = 53,221,306.94/8,256.29
  6. Step 6: Final answer
    x = 6,446.15

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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.