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Finding the Fourth Proportional to 7,977.68, 11,966.56 and 2,784

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Solution

The fourth proportional to 7,977.68, 11,966.56 and 2,784 is: 4,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.68 : 11,966.56 = 2,784 : x
  2. Step 2: Convert to fraction form
    7,977.68/11,966.56 = 2,784/x
  3. Step 3: Cross multiply
    7,977.68x = 11,966.56 × 2,784
  4. Step 4: Simplify right side
    7,977.68x = 33,314,903.04
  5. Step 5: Solve for x
    x = 33,314,903.04/7,977.68
  6. Step 6: Final answer
    x = 4,176.01

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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.