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Finding the Fourth Proportional to 7,580.40, 10,453.44 and 6,842.04

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Solution

The fourth proportional to 7,580.40, 10,453.44 and 6,842.04 is: 9,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.40 : 10,453.44 = 6,842.04 : x
  2. Step 2: Convert to fraction form
    7,580.40/10,453.44 = 6,842.04/x
  3. Step 3: Cross multiply
    7,580.40x = 10,453.44 × 6,842.04
  4. Step 4: Simplify right side
    7,580.40x = 71,522,854.62
  5. Step 5: Solve for x
    x = 71,522,854.62/7,580.40
  6. Step 6: Final answer
    x = 9,435.23

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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.