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Finding the Fourth Proportional to 28,507.50, 42,762.06 and 7,731

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Solution

The fourth proportional to 28,507.50, 42,762.06 and 7,731 is: 11,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,507.50 : 42,762.06 = 7,731 : x
  2. Step 2: Convert to fraction form
    28,507.50/42,762.06 = 7,731/x
  3. Step 3: Cross multiply
    28,507.50x = 42,762.06 × 7,731
  4. Step 4: Simplify right side
    28,507.50x = 330,593,485.86
  5. Step 5: Solve for x
    x = 330,593,485.86/28,507.50
  6. Step 6: Final answer
    x = 11,596.72

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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.