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Finding the Fourth Proportional to 7,378.41, 11,109.26 and 6,506.53

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Solution

The fourth proportional to 7,378.41, 11,109.26 and 6,506.53 is: 9,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.41 : 11,109.26 = 6,506.53 : x
  2. Step 2: Convert to fraction form
    7,378.41/11,109.26 = 6,506.53/x
  3. Step 3: Cross multiply
    7,378.41x = 11,109.26 × 6,506.53
  4. Step 4: Simplify right side
    7,378.41x = 72,282,747.85
  5. Step 5: Solve for x
    x = 72,282,747.85/7,378.41
  6. Step 6: Final answer
    x = 9,796.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.