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Finding the Fourth Proportional to 7,766.30, 11,656.34 and 5,126.51

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Solution

The fourth proportional to 7,766.30, 11,656.34 and 5,126.51 is: 7,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.30 : 11,656.34 = 5,126.51 : x
  2. Step 2: Convert to fraction form
    7,766.30/11,656.34 = 5,126.51/x
  3. Step 3: Cross multiply
    7,766.30x = 11,656.34 × 5,126.51
  4. Step 4: Simplify right side
    7,766.30x = 59,756,259.66
  5. Step 5: Solve for x
    x = 59,756,259.66/7,766.30
  6. Step 6: Final answer
    x = 7,694.31

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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.