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Finding the Fourth Proportional to 7,315.28, 10,957.18 and 4,186.50

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Solution

The fourth proportional to 7,315.28, 10,957.18 and 4,186.50 is: 6,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.28 : 10,957.18 = 4,186.50 : x
  2. Step 2: Convert to fraction form
    7,315.28/10,957.18 = 4,186.50/x
  3. Step 3: Cross multiply
    7,315.28x = 10,957.18 × 4,186.50
  4. Step 4: Simplify right side
    7,315.28x = 45,872,234.07
  5. Step 5: Solve for x
    x = 45,872,234.07/7,315.28
  6. Step 6: Final answer
    x = 6,270.74

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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.