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Finding the Fourth Proportional to 8,176.64, 11,254.40 and 6,835.52

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Solution

The fourth proportional to 8,176.64, 11,254.40 and 6,835.52 is: 9,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.64 : 11,254.40 = 6,835.52 : x
  2. Step 2: Convert to fraction form
    8,176.64/11,254.40 = 6,835.52/x
  3. Step 3: Cross multiply
    8,176.64x = 11,254.40 × 6,835.52
  4. Step 4: Simplify right side
    8,176.64x = 76,929,676.29
  5. Step 5: Solve for x
    x = 76,929,676.29/8,176.64
  6. Step 6: Final answer
    x = 9,408.47

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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.