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Finding the Fourth Proportional to 8,651.34, 11,938.20 and 5,113.86

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Solution

The fourth proportional to 8,651.34, 11,938.20 and 5,113.86 is: 7,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.34 : 11,938.20 = 5,113.86 : x
  2. Step 2: Convert to fraction form
    8,651.34/11,938.20 = 5,113.86/x
  3. Step 3: Cross multiply
    8,651.34x = 11,938.20 × 5,113.86
  4. Step 4: Simplify right side
    8,651.34x = 61,050,283.45
  5. Step 5: Solve for x
    x = 61,050,283.45/8,651.34
  6. Step 6: Final answer
    x = 7,056.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.