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Finding the Fourth Proportional to 7,152.50, 10,730.13 and 3,457.28

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Solution

The fourth proportional to 7,152.50, 10,730.13 and 3,457.28 is: 5,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.50 : 10,730.13 = 3,457.28 : x
  2. Step 2: Convert to fraction form
    7,152.50/10,730.13 = 3,457.28/x
  3. Step 3: Cross multiply
    7,152.50x = 10,730.13 × 3,457.28
  4. Step 4: Simplify right side
    7,152.50x = 37,097,063.85
  5. Step 5: Solve for x
    x = 37,097,063.85/7,152.50
  6. Step 6: Final answer
    x = 5,186.59

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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.