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Finding the Fourth Proportional to 6,752.46, 10,109.34 and 4,415.07

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Solution

The fourth proportional to 6,752.46, 10,109.34 and 4,415.07 is: 6,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.46 : 10,109.34 = 4,415.07 : x
  2. Step 2: Convert to fraction form
    6,752.46/10,109.34 = 4,415.07/x
  3. Step 3: Cross multiply
    6,752.46x = 10,109.34 × 4,415.07
  4. Step 4: Simplify right side
    6,752.46x = 44,633,443.75
  5. Step 5: Solve for x
    x = 44,633,443.75/6,752.46
  6. Step 6: Final answer
    x = 6,609.95

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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.