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Finding the Fourth Proportional to 7,017.24, 9,682.98 and 4,184.78

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Solution

The fourth proportional to 7,017.24, 9,682.98 and 4,184.78 is: 5,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.24 : 9,682.98 = 4,184.78 : x
  2. Step 2: Convert to fraction form
    7,017.24/9,682.98 = 4,184.78/x
  3. Step 3: Cross multiply
    7,017.24x = 9,682.98 × 4,184.78
  4. Step 4: Simplify right side
    7,017.24x = 40,521,076.94
  5. Step 5: Solve for x
    x = 40,521,076.94/7,017.24
  6. Step 6: Final answer
    x = 5,774.50

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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.