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Finding the Fourth Proportional to 7,507.50, 11,261.16 and 2,580.54

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Solution

The fourth proportional to 7,507.50, 11,261.16 and 2,580.54 is: 3,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.50 : 11,261.16 = 2,580.54 : x
  2. Step 2: Convert to fraction form
    7,507.50/11,261.16 = 2,580.54/x
  3. Step 3: Cross multiply
    7,507.50x = 11,261.16 × 2,580.54
  4. Step 4: Simplify right side
    7,507.50x = 29,059,873.83
  5. Step 5: Solve for x
    x = 29,059,873.83/7,507.50
  6. Step 6: Final answer
    x = 3,870.78

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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.