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Finding the Fourth Proportional to 10,512.64, 14,507.40 and 5,797

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Solution

The fourth proportional to 10,512.64, 14,507.40 and 5,797 is: 7,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.64 : 14,507.40 = 5,797 : x
  2. Step 2: Convert to fraction form
    10,512.64/14,507.40 = 5,797/x
  3. Step 3: Cross multiply
    10,512.64x = 14,507.40 × 5,797
  4. Step 4: Simplify right side
    10,512.64x = 84,099,397.80
  5. Step 5: Solve for x
    x = 84,099,397.80/10,512.64
  6. Step 6: Final answer
    x = 7,999.84

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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.