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Finding the Fourth Proportional to 8,156.74, 11,256.34 and 4,620.64

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Solution

The fourth proportional to 8,156.74, 11,256.34 and 4,620.64 is: 6,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.74 : 11,256.34 = 4,620.64 : x
  2. Step 2: Convert to fraction form
    8,156.74/11,256.34 = 4,620.64/x
  3. Step 3: Cross multiply
    8,156.74x = 11,256.34 × 4,620.64
  4. Step 4: Simplify right side
    8,156.74x = 52,011,494.86
  5. Step 5: Solve for x
    x = 52,011,494.86/8,156.74
  6. Step 6: Final answer
    x = 6,376.51

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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.