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Finding the Fourth Proportional to 8,315.72, 11,449.50 and 7,054.16

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Solution

The fourth proportional to 8,315.72, 11,449.50 and 7,054.16 is: 9,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.72 : 11,449.50 = 7,054.16 : x
  2. Step 2: Convert to fraction form
    8,315.72/11,449.50 = 7,054.16/x
  3. Step 3: Cross multiply
    8,315.72x = 11,449.50 × 7,054.16
  4. Step 4: Simplify right side
    8,315.72x = 80,766,604.92
  5. Step 5: Solve for x
    x = 80,766,604.92/8,315.72
  6. Step 6: Final answer
    x = 9,712.52

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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.