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Finding the Fourth Proportional to 11,577.96, 17,394.64 and 7,426.10

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Solution

The fourth proportional to 11,577.96, 17,394.64 and 7,426.10 is: 11,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.96 : 17,394.64 = 7,426.10 : x
  2. Step 2: Convert to fraction form
    11,577.96/17,394.64 = 7,426.10/x
  3. Step 3: Cross multiply
    11,577.96x = 17,394.64 × 7,426.10
  4. Step 4: Simplify right side
    11,577.96x = 129,174,336.10
  5. Step 5: Solve for x
    x = 129,174,336.10/11,577.96
  6. Step 6: Final answer
    x = 11,156.92

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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.