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Finding the Fourth Proportional to 10,241.76, 14,127.06 and 7,097.34

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Solution

The fourth proportional to 10,241.76, 14,127.06 and 7,097.34 is: 9,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.76 : 14,127.06 = 7,097.34 : x
  2. Step 2: Convert to fraction form
    10,241.76/14,127.06 = 7,097.34/x
  3. Step 3: Cross multiply
    10,241.76x = 14,127.06 × 7,097.34
  4. Step 4: Simplify right side
    10,241.76x = 100,264,548.02
  5. Step 5: Solve for x
    x = 100,264,548.02/10,241.76
  6. Step 6: Final answer
    x = 9,789.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.