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Finding the Fourth Proportional to 7,507.50, 10,362.78 and 4,713

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Solution

The fourth proportional to 7,507.50, 10,362.78 and 4,713 is: 6,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.50 : 10,362.78 = 4,713 : x
  2. Step 2: Convert to fraction form
    7,507.50/10,362.78 = 4,713/x
  3. Step 3: Cross multiply
    7,507.50x = 10,362.78 × 4,713
  4. Step 4: Simplify right side
    7,507.50x = 48,839,782.14
  5. Step 5: Solve for x
    x = 48,839,782.14/7,507.50
  6. Step 6: Final answer
    x = 6,505.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.