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Finding the Fourth Proportional to 13,253.07, 18,290.28 and 7,589.60

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Solution

The fourth proportional to 13,253.07, 18,290.28 and 7,589.60 is: 10,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.07 : 18,290.28 = 7,589.60 : x
  2. Step 2: Convert to fraction form
    13,253.07/18,290.28 = 7,589.60/x
  3. Step 3: Cross multiply
    13,253.07x = 18,290.28 × 7,589.60
  4. Step 4: Simplify right side
    13,253.07x = 138,815,909.09
  5. Step 5: Solve for x
    x = 138,815,909.09/13,253.07
  6. Step 6: Final answer
    x = 10,474.25

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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.