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Finding the Fourth Proportional to 10,452.34, 14,424.53 and 5,914.67

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Solution

The fourth proportional to 10,452.34, 14,424.53 and 5,914.67 is: 8,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.34 : 14,424.53 = 5,914.67 : x
  2. Step 2: Convert to fraction form
    10,452.34/14,424.53 = 5,914.67/x
  3. Step 3: Cross multiply
    10,452.34x = 14,424.53 × 5,914.67
  4. Step 4: Simplify right side
    10,452.34x = 85,316,347.57
  5. Step 5: Solve for x
    x = 85,316,347.57/10,452.34
  6. Step 6: Final answer
    x = 8,162.42

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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.