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Finding the Fourth Proportional to 7,086.36, 9,780.06 and 5,404.80

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Solution

The fourth proportional to 7,086.36, 9,780.06 and 5,404.80 is: 7,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.36 : 9,780.06 = 5,404.80 : x
  2. Step 2: Convert to fraction form
    7,086.36/9,780.06 = 5,404.80/x
  3. Step 3: Cross multiply
    7,086.36x = 9,780.06 × 5,404.80
  4. Step 4: Simplify right side
    7,086.36x = 52,859,268.29
  5. Step 5: Solve for x
    x = 52,859,268.29/7,086.36
  6. Step 6: Final answer
    x = 7,459.30

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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.