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Finding the Fourth Proportional to 8,290.56, 11,444.70 and 5,459.40

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Solution

The fourth proportional to 8,290.56, 11,444.70 and 5,459.40 is: 7,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.56 : 11,444.70 = 5,459.40 : x
  2. Step 2: Convert to fraction form
    8,290.56/11,444.70 = 5,459.40/x
  3. Step 3: Cross multiply
    8,290.56x = 11,444.70 × 5,459.40
  4. Step 4: Simplify right side
    8,290.56x = 62,481,195.18
  5. Step 5: Solve for x
    x = 62,481,195.18/8,290.56
  6. Step 6: Final answer
    x = 7,536.43

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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.