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Finding the Fourth Proportional to 7,693.49, 11,529.06 and 4,180.52

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Solution

The fourth proportional to 7,693.49, 11,529.06 and 4,180.52 is: 6,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.49 : 11,529.06 = 4,180.52 : x
  2. Step 2: Convert to fraction form
    7,693.49/11,529.06 = 4,180.52/x
  3. Step 3: Cross multiply
    7,693.49x = 11,529.06 × 4,180.52
  4. Step 4: Simplify right side
    7,693.49x = 48,197,408.27
  5. Step 5: Solve for x
    x = 48,197,408.27/7,693.49
  6. Step 6: Final answer
    x = 6,264.70

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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.