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Finding the Fourth Proportional to 7,357.50, 11,037.62 and 2,978.03

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Solution

The fourth proportional to 7,357.50, 11,037.62 and 2,978.03 is: 4,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.50 : 11,037.62 = 2,978.03 : x
  2. Step 2: Convert to fraction form
    7,357.50/11,037.62 = 2,978.03/x
  3. Step 3: Cross multiply
    7,357.50x = 11,037.62 × 2,978.03
  4. Step 4: Simplify right side
    7,357.50x = 32,870,398.53
  5. Step 5: Solve for x
    x = 32,870,398.53/7,357.50
  6. Step 6: Final answer
    x = 4,467.60

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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.