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Finding the Fourth Proportional to 7,656.84, 11,486.52 and 2,729.52

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Solution

The fourth proportional to 7,656.84, 11,486.52 and 2,729.52 is: 4,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.84 : 11,486.52 = 2,729.52 : x
  2. Step 2: Convert to fraction form
    7,656.84/11,486.52 = 2,729.52/x
  3. Step 3: Cross multiply
    7,656.84x = 11,486.52 × 2,729.52
  4. Step 4: Simplify right side
    7,656.84x = 31,352,686.07
  5. Step 5: Solve for x
    x = 31,352,686.07/7,656.84
  6. Step 6: Final answer
    x = 4,094.73

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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.