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Finding the Fourth Proportional to 11,782.25, 16,259.85 and 6,748.10

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Solution

The fourth proportional to 11,782.25, 16,259.85 and 6,748.10 is: 9,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.25 : 16,259.85 = 6,748.10 : x
  2. Step 2: Convert to fraction form
    11,782.25/16,259.85 = 6,748.10/x
  3. Step 3: Cross multiply
    11,782.25x = 16,259.85 × 6,748.10
  4. Step 4: Simplify right side
    11,782.25x = 109,723,012.49
  5. Step 5: Solve for x
    x = 109,723,012.49/11,782.25
  6. Step 6: Final answer
    x = 9,312.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.