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Finding the Fourth Proportional to 10,771.98, 14,866.02 and 6,056.57

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Solution

The fourth proportional to 10,771.98, 14,866.02 and 6,056.57 is: 8,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.98 : 14,866.02 = 6,056.57 : x
  2. Step 2: Convert to fraction form
    10,771.98/14,866.02 = 6,056.57/x
  3. Step 3: Cross multiply
    10,771.98x = 14,866.02 × 6,056.57
  4. Step 4: Simplify right side
    10,771.98x = 90,037,090.75
  5. Step 5: Solve for x
    x = 90,037,090.75/10,771.98
  6. Step 6: Final answer
    x = 8,358.45

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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.