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Finding the Fourth Proportional to 7,474.61, 10,314.68 and 4,492.09

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Solution

The fourth proportional to 7,474.61, 10,314.68 and 4,492.09 is: 6,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.61 : 10,314.68 = 4,492.09 : x
  2. Step 2: Convert to fraction form
    7,474.61/10,314.68 = 4,492.09/x
  3. Step 3: Cross multiply
    7,474.61x = 10,314.68 × 4,492.09
  4. Step 4: Simplify right side
    7,474.61x = 46,334,422.63
  5. Step 5: Solve for x
    x = 46,334,422.63/7,474.61
  6. Step 6: Final answer
    x = 6,198.91

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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.