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Finding the Fourth Proportional to 11,300.58, 15,589.26 and 9,806.40

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Solution

The fourth proportional to 11,300.58, 15,589.26 and 9,806.40 is: 13,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.58 : 15,589.26 = 9,806.40 : x
  2. Step 2: Convert to fraction form
    11,300.58/15,589.26 = 9,806.40/x
  3. Step 3: Cross multiply
    11,300.58x = 15,589.26 × 9,806.40
  4. Step 4: Simplify right side
    11,300.58x = 152,874,519.26
  5. Step 5: Solve for x
    x = 152,874,519.26/11,300.58
  6. Step 6: Final answer
    x = 13,528.02

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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.