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Finding the Fourth Proportional to 8,157.60, 11,257.47 and 4,620.80

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Solution

The fourth proportional to 8,157.60, 11,257.47 and 4,620.80 is: 6,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.60 : 11,257.47 = 4,620.80 : x
  2. Step 2: Convert to fraction form
    8,157.60/11,257.47 = 4,620.80/x
  3. Step 3: Cross multiply
    8,157.60x = 11,257.47 × 4,620.80
  4. Step 4: Simplify right side
    8,157.60x = 52,018,545.52
  5. Step 5: Solve for x
    x = 52,018,545.52/8,157.60
  6. Step 6: Final answer
    x = 6,376.70

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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.