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Finding the Fourth Proportional to 10,577.62, 15,857.40 and 6,673.42

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Solution

The fourth proportional to 10,577.62, 15,857.40 and 6,673.42 is: 10,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.62 : 15,857.40 = 6,673.42 : x
  2. Step 2: Convert to fraction form
    10,577.62/15,857.40 = 6,673.42/x
  3. Step 3: Cross multiply
    10,577.62x = 15,857.40 × 6,673.42
  4. Step 4: Simplify right side
    10,577.62x = 105,823,090.31
  5. Step 5: Solve for x
    x = 105,823,090.31/10,577.62
  6. Step 6: Final answer
    x = 10,004.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.