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Finding the Fourth Proportional to 8,173.59, 11,280.70 and 4,771.72

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Solution

The fourth proportional to 8,173.59, 11,280.70 and 4,771.72 is: 6,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.59 : 11,280.70 = 4,771.72 : x
  2. Step 2: Convert to fraction form
    8,173.59/11,280.70 = 4,771.72/x
  3. Step 3: Cross multiply
    8,173.59x = 11,280.70 × 4,771.72
  4. Step 4: Simplify right side
    8,173.59x = 53,828,314.41
  5. Step 5: Solve for x
    x = 53,828,314.41/8,173.59
  6. Step 6: Final answer
    x = 6,585.64

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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.