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Finding the Fourth Proportional to 7,817.04, 11,732.46 and 3,659.28

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Solution

The fourth proportional to 7,817.04, 11,732.46 and 3,659.28 is: 5,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.04 : 11,732.46 = 3,659.28 : x
  2. Step 2: Convert to fraction form
    7,817.04/11,732.46 = 3,659.28/x
  3. Step 3: Cross multiply
    7,817.04x = 11,732.46 × 3,659.28
  4. Step 4: Simplify right side
    7,817.04x = 42,932,356.23
  5. Step 5: Solve for x
    x = 42,932,356.23/7,817.04
  6. Step 6: Final answer
    x = 5,492.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.