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Finding the Fourth Proportional to 10,274.22, 14,169.06 and 7,460.28

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Solution

The fourth proportional to 10,274.22, 14,169.06 and 7,460.28 is: 10,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.22 : 14,169.06 = 7,460.28 : x
  2. Step 2: Convert to fraction form
    10,274.22/14,169.06 = 7,460.28/x
  3. Step 3: Cross multiply
    10,274.22x = 14,169.06 × 7,460.28
  4. Step 4: Simplify right side
    10,274.22x = 105,705,154.94
  5. Step 5: Solve for x
    x = 105,705,154.94/10,274.22
  6. Step 6: Final answer
    x = 10,288.39

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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.