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Finding the Fourth Proportional to 7,466.50, 10,304.04 and 4,109.57

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Solution

The fourth proportional to 7,466.50, 10,304.04 and 4,109.57 is: 5,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.50 : 10,304.04 = 4,109.57 : x
  2. Step 2: Convert to fraction form
    7,466.50/10,304.04 = 4,109.57/x
  3. Step 3: Cross multiply
    7,466.50x = 10,304.04 × 4,109.57
  4. Step 4: Simplify right side
    7,466.50x = 42,345,173.66
  5. Step 5: Solve for x
    x = 42,345,173.66/7,466.50
  6. Step 6: Final answer
    x = 5,671.36

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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.