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Finding the Fourth Proportional to 10,314.12, 15,464.24 and 4,764.42

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Solution

The fourth proportional to 10,314.12, 15,464.24 and 4,764.42 is: 7,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.12 : 15,464.24 = 4,764.42 : x
  2. Step 2: Convert to fraction form
    10,314.12/15,464.24 = 4,764.42/x
  3. Step 3: Cross multiply
    10,314.12x = 15,464.24 × 4,764.42
  4. Step 4: Simplify right side
    10,314.12x = 73,678,134.34
  5. Step 5: Solve for x
    x = 73,678,134.34/10,314.12
  6. Step 6: Final answer
    x = 7,143.42

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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.