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Finding the Fourth Proportional to 7,486.76, 11,234.09 and 5,730.68

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Solution

The fourth proportional to 7,486.76, 11,234.09 and 5,730.68 is: 8,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.76 : 11,234.09 = 5,730.68 : x
  2. Step 2: Convert to fraction form
    7,486.76/11,234.09 = 5,730.68/x
  3. Step 3: Cross multiply
    7,486.76x = 11,234.09 × 5,730.68
  4. Step 4: Simplify right side
    7,486.76x = 64,379,017.29
  5. Step 5: Solve for x
    x = 64,379,017.29/7,486.76
  6. Step 6: Final answer
    x = 8,599.05

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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.