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Finding the Fourth Proportional to 8,518.14, 11,756.64 and 4,792.14

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Solution

The fourth proportional to 8,518.14, 11,756.64 and 4,792.14 is: 6,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.14 : 11,756.64 = 4,792.14 : x
  2. Step 2: Convert to fraction form
    8,518.14/11,756.64 = 4,792.14/x
  3. Step 3: Cross multiply
    8,518.14x = 11,756.64 × 4,792.14
  4. Step 4: Simplify right side
    8,518.14x = 56,339,464.81
  5. Step 5: Solve for x
    x = 56,339,464.81/8,518.14
  6. Step 6: Final answer
    x = 6,614.06

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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.