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Finding the Fourth Proportional to 25,135.64, 37,704 and 7,605.44

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Solution

The fourth proportional to 25,135.64, 37,704 and 7,605.44 is: 11,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,135.64 : 37,704 = 7,605.44 : x
  2. Step 2: Convert to fraction form
    25,135.64/37,704 = 7,605.44/x
  3. Step 3: Cross multiply
    25,135.64x = 37,704 × 7,605.44
  4. Step 4: Simplify right side
    25,135.64x = 286,755,509.76
  5. Step 5: Solve for x
    x = 286,755,509.76/25,135.64
  6. Step 6: Final answer
    x = 11,408.32

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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.