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Finding the Fourth Proportional to 7,656.64, 11,486.72 and 2,726.56

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Solution

The fourth proportional to 7,656.64, 11,486.72 and 2,726.56 is: 4,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.64 : 11,486.72 = 2,726.56 : x
  2. Step 2: Convert to fraction form
    7,656.64/11,486.72 = 2,726.56/x
  3. Step 3: Cross multiply
    7,656.64x = 11,486.72 × 2,726.56
  4. Step 4: Simplify right side
    7,656.64x = 31,319,231.28
  5. Step 5: Solve for x
    x = 31,319,231.28/7,656.64
  6. Step 6: Final answer
    x = 4,090.47

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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.