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Finding the Fourth Proportional to 11,126.75, 15,354.93 and 6,935

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Solution

The fourth proportional to 11,126.75, 15,354.93 and 6,935 is: 9,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,126.75 : 15,354.93 = 6,935 : x
  2. Step 2: Convert to fraction form
    11,126.75/15,354.93 = 6,935/x
  3. Step 3: Cross multiply
    11,126.75x = 15,354.93 × 6,935
  4. Step 4: Simplify right side
    11,126.75x = 106,486,439.55
  5. Step 5: Solve for x
    x = 106,486,439.55/11,126.75
  6. Step 6: Final answer
    x = 9,570.31

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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.