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Finding the Fourth Proportional to 8,730.91, 13,084.58 and 4,776.20

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Solution

The fourth proportional to 8,730.91, 13,084.58 and 4,776.20 is: 7,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.91 : 13,084.58 = 4,776.20 : x
  2. Step 2: Convert to fraction form
    8,730.91/13,084.58 = 4,776.20/x
  3. Step 3: Cross multiply
    8,730.91x = 13,084.58 × 4,776.20
  4. Step 4: Simplify right side
    8,730.91x = 62,494,618.42
  5. Step 5: Solve for x
    x = 62,494,618.42/8,730.91
  6. Step 6: Final answer
    x = 7,157.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.