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Finding the Fourth Proportional to 7,771.10, 11,656.65 and 5,426.15

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Solution

The fourth proportional to 7,771.10, 11,656.65 and 5,426.15 is: 8,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.10 : 11,656.65 = 5,426.15 : x
  2. Step 2: Convert to fraction form
    7,771.10/11,656.65 = 5,426.15/x
  3. Step 3: Cross multiply
    7,771.10x = 11,656.65 × 5,426.15
  4. Step 4: Simplify right side
    7,771.10x = 63,250,731.40
  5. Step 5: Solve for x
    x = 63,250,731.40/7,771.10
  6. Step 6: Final answer
    x = 8,139.23

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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.