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Finding the Fourth Proportional to 7,466.20, 10,302.42 and 4,109.20

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Solution

The fourth proportional to 7,466.20, 10,302.42 and 4,109.20 is: 5,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.20 : 10,302.42 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    7,466.20/10,302.42 = 4,109.20/x
  3. Step 3: Cross multiply
    7,466.20x = 10,302.42 × 4,109.20
  4. Step 4: Simplify right side
    7,466.20x = 42,334,704.26
  5. Step 5: Solve for x
    x = 42,334,704.26/7,466.20
  6. Step 6: Final answer
    x = 5,670.18

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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.