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Finding the Fourth Proportional to 10,264.03, 14,164.38 and 5,548.32

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Solution

The fourth proportional to 10,264.03, 14,164.38 and 5,548.32 is: 7,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.03 : 14,164.38 = 5,548.32 : x
  2. Step 2: Convert to fraction form
    10,264.03/14,164.38 = 5,548.32/x
  3. Step 3: Cross multiply
    10,264.03x = 14,164.38 × 5,548.32
  4. Step 4: Simplify right side
    10,264.03x = 78,588,512.84
  5. Step 5: Solve for x
    x = 78,588,512.84/10,264.03
  6. Step 6: Final answer
    x = 7,656.69

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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.