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Finding the Fourth Proportional to 10,403.40, 15,626.88 and 8,843.16

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Solution

The fourth proportional to 10,403.40, 15,626.88 and 8,843.16 is: 13,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.40 : 15,626.88 = 8,843.16 : x
  2. Step 2: Convert to fraction form
    10,403.40/15,626.88 = 8,843.16/x
  3. Step 3: Cross multiply
    10,403.40x = 15,626.88 × 8,843.16
  4. Step 4: Simplify right side
    10,403.40x = 138,191,000.14
  5. Step 5: Solve for x
    x = 138,191,000.14/10,403.40
  6. Step 6: Final answer
    x = 13,283.25

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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.