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Finding the Fourth Proportional to 10,354.53, 14,289.33 and 5,638.86

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Solution

The fourth proportional to 10,354.53, 14,289.33 and 5,638.86 is: 7,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.53 : 14,289.33 = 5,638.86 : x
  2. Step 2: Convert to fraction form
    10,354.53/14,289.33 = 5,638.86/x
  3. Step 3: Cross multiply
    10,354.53x = 14,289.33 × 5,638.86
  4. Step 4: Simplify right side
    10,354.53x = 80,575,531.36
  5. Step 5: Solve for x
    x = 80,575,531.36/10,354.53
  6. Step 6: Final answer
    x = 7,781.67

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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.