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Finding the Fourth Proportional to 7,530.20, 11,295.30 and 7,314.20

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Solution

The fourth proportional to 7,530.20, 11,295.30 and 7,314.20 is: 10,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.20 : 11,295.30 = 7,314.20 : x
  2. Step 2: Convert to fraction form
    7,530.20/11,295.30 = 7,314.20/x
  3. Step 3: Cross multiply
    7,530.20x = 11,295.30 × 7,314.20
  4. Step 4: Simplify right side
    7,530.20x = 82,616,083.26
  5. Step 5: Solve for x
    x = 82,616,083.26/7,530.20
  6. Step 6: Final answer
    x = 10,971.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.