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Finding the Fourth Proportional to 8,812.64, 13,216.56 and 2,968

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Solution

The fourth proportional to 8,812.64, 13,216.56 and 2,968 is: 4,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.64 : 13,216.56 = 2,968 : x
  2. Step 2: Convert to fraction form
    8,812.64/13,216.56 = 2,968/x
  3. Step 3: Cross multiply
    8,812.64x = 13,216.56 × 2,968
  4. Step 4: Simplify right side
    8,812.64x = 39,226,750.08
  5. Step 5: Solve for x
    x = 39,226,750.08/8,812.64
  6. Step 6: Final answer
    x = 4,451.19

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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.