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Finding the Fourth Proportional to 11,425.98, 15,768.87 and 6,948.66

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Solution

The fourth proportional to 11,425.98, 15,768.87 and 6,948.66 is: 9,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.98 : 15,768.87 = 6,948.66 : x
  2. Step 2: Convert to fraction form
    11,425.98/15,768.87 = 6,948.66/x
  3. Step 3: Cross multiply
    11,425.98x = 15,768.87 × 6,948.66
  4. Step 4: Simplify right side
    11,425.98x = 109,572,516.21
  5. Step 5: Solve for x
    x = 109,572,516.21/11,425.98
  6. Step 6: Final answer
    x = 9,589.77

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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.