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Finding the Fourth Proportional to 10,634.16, 14,639.64 and 7,977.12

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Solution

The fourth proportional to 10,634.16, 14,639.64 and 7,977.12 is: 10,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.16 : 14,639.64 = 7,977.12 : x
  2. Step 2: Convert to fraction form
    10,634.16/14,639.64 = 7,977.12/x
  3. Step 3: Cross multiply
    10,634.16x = 14,639.64 × 7,977.12
  4. Step 4: Simplify right side
    10,634.16x = 116,782,165.04
  5. Step 5: Solve for x
    x = 116,782,165.04/10,634.16
  6. Step 6: Final answer
    x = 10,981.79

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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.