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Finding the Fourth Proportional to 8,315.57, 11,455.39 and 7,116.72

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Solution

The fourth proportional to 8,315.57, 11,455.39 and 7,116.72 is: 9,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.57 : 11,455.39 = 7,116.72 : x
  2. Step 2: Convert to fraction form
    8,315.57/11,455.39 = 7,116.72/x
  3. Step 3: Cross multiply
    8,315.57x = 11,455.39 × 7,116.72
  4. Step 4: Simplify right side
    8,315.57x = 81,524,839.63
  5. Step 5: Solve for x
    x = 81,524,839.63/8,315.57
  6. Step 6: Final answer
    x = 9,803.88

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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.