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Finding the Fourth Proportional to 7,509.80, 11,211.17 and 6,402.60

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Solution

The fourth proportional to 7,509.80, 11,211.17 and 6,402.60 is: 9,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.80 : 11,211.17 = 6,402.60 : x
  2. Step 2: Convert to fraction form
    7,509.80/11,211.17 = 6,402.60/x
  3. Step 3: Cross multiply
    7,509.80x = 11,211.17 × 6,402.60
  4. Step 4: Simplify right side
    7,509.80x = 71,780,637.04
  5. Step 5: Solve for x
    x = 71,780,637.04/7,509.80
  6. Step 6: Final answer
    x = 9,558.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.