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Finding the Fourth Proportional to 11,507.32, 17,261 and 4,933

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Solution

The fourth proportional to 11,507.32, 17,261 and 4,933 is: 7,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.32 : 17,261 = 4,933 : x
  2. Step 2: Convert to fraction form
    11,507.32/17,261 = 4,933/x
  3. Step 3: Cross multiply
    11,507.32x = 17,261 × 4,933
  4. Step 4: Simplify right side
    11,507.32x = 85,148,513
  5. Step 5: Solve for x
    x = 85,148,513/11,507.32
  6. Step 6: Final answer
    x = 7,399.51

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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.