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Finding the Fourth Proportional to 11,417.26, 15,760.68 and 6,942.45

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Solution

The fourth proportional to 11,417.26, 15,760.68 and 6,942.45 is: 9,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.26 : 15,760.68 = 6,942.45 : x
  2. Step 2: Convert to fraction form
    11,417.26/15,760.68 = 6,942.45/x
  3. Step 3: Cross multiply
    11,417.26x = 15,760.68 × 6,942.45
  4. Step 4: Simplify right side
    11,417.26x = 109,417,677.28
  5. Step 5: Solve for x
    x = 109,417,677.28/11,417.26
  6. Step 6: Final answer
    x = 9,583.53

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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.