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Finding the Fourth Proportional to 8,476.94, 11,694.01 and 7,356.30

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Solution

The fourth proportional to 8,476.94, 11,694.01 and 7,356.30 is: 10,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.94 : 11,694.01 = 7,356.30 : x
  2. Step 2: Convert to fraction form
    8,476.94/11,694.01 = 7,356.30/x
  3. Step 3: Cross multiply
    8,476.94x = 11,694.01 × 7,356.30
  4. Step 4: Simplify right side
    8,476.94x = 86,024,645.76
  5. Step 5: Solve for x
    x = 86,024,645.76/8,476.94
  6. Step 6: Final answer
    x = 10,148.08

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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.