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Finding the Fourth Proportional to 7,659.36, 11,490.72 and 2,465.28

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Solution

The fourth proportional to 7,659.36, 11,490.72 and 2,465.28 is: 3,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.36 : 11,490.72 = 2,465.28 : x
  2. Step 2: Convert to fraction form
    7,659.36/11,490.72 = 2,465.28/x
  3. Step 3: Cross multiply
    7,659.36x = 11,490.72 × 2,465.28
  4. Step 4: Simplify right side
    7,659.36x = 28,327,842.20
  5. Step 5: Solve for x
    x = 28,327,842.20/7,659.36
  6. Step 6: Final answer
    x = 3,698.46

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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.