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Finding the Fourth Proportional to 7,507.64, 11,261.58 and 2,313.50

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Solution

The fourth proportional to 7,507.64, 11,261.58 and 2,313.50 is: 3,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.64 : 11,261.58 = 2,313.50 : x
  2. Step 2: Convert to fraction form
    7,507.64/11,261.58 = 2,313.50/x
  3. Step 3: Cross multiply
    7,507.64x = 11,261.58 × 2,313.50
  4. Step 4: Simplify right side
    7,507.64x = 26,053,665.33
  5. Step 5: Solve for x
    x = 26,053,665.33/7,507.64
  6. Step 6: Final answer
    x = 3,470.29

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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.