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Finding the Fourth Proportional to 11,456.40, 17,190 and 5,609.76

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Solution

The fourth proportional to 11,456.40, 17,190 and 5,609.76 is: 8,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.40 : 17,190 = 5,609.76 : x
  2. Step 2: Convert to fraction form
    11,456.40/17,190 = 5,609.76/x
  3. Step 3: Cross multiply
    11,456.40x = 17,190 × 5,609.76
  4. Step 4: Simplify right side
    11,456.40x = 96,431,774.40
  5. Step 5: Solve for x
    x = 96,431,774.40/11,456.40
  6. Step 6: Final answer
    x = 8,417.28

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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.