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Finding the Fourth Proportional to 27,130.58, 40,692.78 and 7,410.74

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Solution

The fourth proportional to 27,130.58, 40,692.78 and 7,410.74 is: 11,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.58 : 40,692.78 = 7,410.74 : x
  2. Step 2: Convert to fraction form
    27,130.58/40,692.78 = 7,410.74/x
  3. Step 3: Cross multiply
    27,130.58x = 40,692.78 × 7,410.74
  4. Step 4: Simplify right side
    27,130.58x = 301,563,612.46
  5. Step 5: Solve for x
    x = 301,563,612.46/27,130.58
  6. Step 6: Final answer
    x = 11,115.27

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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.