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Finding the Fourth Proportional to 7,475.96, 10,314.24 and 4,492.76

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Solution

The fourth proportional to 7,475.96, 10,314.24 and 4,492.76 is: 6,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.96 : 10,314.24 = 4,492.76 : x
  2. Step 2: Convert to fraction form
    7,475.96/10,314.24 = 4,492.76/x
  3. Step 3: Cross multiply
    7,475.96x = 10,314.24 × 4,492.76
  4. Step 4: Simplify right side
    7,475.96x = 46,339,404.90
  5. Step 5: Solve for x
    x = 46,339,404.90/7,475.96
  6. Step 6: Final answer
    x = 6,198.46

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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.