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Finding the Fourth Proportional to 8,176.56, 11,280 and 6,284.76

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Solution

The fourth proportional to 8,176.56, 11,280 and 6,284.76 is: 8,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.56 : 11,280 = 6,284.76 : x
  2. Step 2: Convert to fraction form
    8,176.56/11,280 = 6,284.76/x
  3. Step 3: Cross multiply
    8,176.56x = 11,280 × 6,284.76
  4. Step 4: Simplify right side
    8,176.56x = 70,892,092.80
  5. Step 5: Solve for x
    x = 70,892,092.80/8,176.56
  6. Step 6: Final answer
    x = 8,670.16

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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.