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Finding the Fourth Proportional to 7,486.53, 11,229.80 and 4,156.82

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Solution

The fourth proportional to 7,486.53, 11,229.80 and 4,156.82 is: 6,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.53 : 11,229.80 = 4,156.82 : x
  2. Step 2: Convert to fraction form
    7,486.53/11,229.80 = 4,156.82/x
  3. Step 3: Cross multiply
    7,486.53x = 11,229.80 × 4,156.82
  4. Step 4: Simplify right side
    7,486.53x = 46,680,264.53
  5. Step 5: Solve for x
    x = 46,680,264.53/7,486.53
  6. Step 6: Final answer
    x = 6,235.23

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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.