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Finding the Fourth Proportional to 10,771.04, 14,865.42 and 6,056.24

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Solution

The fourth proportional to 10,771.04, 14,865.42 and 6,056.24 is: 8,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.04 : 14,865.42 = 6,056.24 : x
  2. Step 2: Convert to fraction form
    10,771.04/14,865.42 = 6,056.24/x
  3. Step 3: Cross multiply
    10,771.04x = 14,865.42 × 6,056.24
  4. Step 4: Simplify right side
    10,771.04x = 90,028,499.60
  5. Step 5: Solve for x
    x = 90,028,499.60/10,771.04
  6. Step 6: Final answer
    x = 8,358.38

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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.