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Finding the Fourth Proportional to 7,776.15, 11,664.27 and 3,094.08

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Solution

The fourth proportional to 7,776.15, 11,664.27 and 3,094.08 is: 4,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.15 : 11,664.27 = 3,094.08 : x
  2. Step 2: Convert to fraction form
    7,776.15/11,664.27 = 3,094.08/x
  3. Step 3: Cross multiply
    7,776.15x = 11,664.27 × 3,094.08
  4. Step 4: Simplify right side
    7,776.15x = 36,090,184.52
  5. Step 5: Solve for x
    x = 36,090,184.52/7,776.15
  6. Step 6: Final answer
    x = 4,641.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.