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Finding the Fourth Proportional to 10,387.16, 14,334.78 and 5,911.32

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Solution

The fourth proportional to 10,387.16, 14,334.78 and 5,911.32 is: 8,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.16 : 14,334.78 = 5,911.32 : x
  2. Step 2: Convert to fraction form
    10,387.16/14,334.78 = 5,911.32/x
  3. Step 3: Cross multiply
    10,387.16x = 14,334.78 × 5,911.32
  4. Step 4: Simplify right side
    10,387.16x = 84,737,440.12
  5. Step 5: Solve for x
    x = 84,737,440.12/10,387.16
  6. Step 6: Final answer
    x = 8,157.90

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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.