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Finding the Fourth Proportional to 10,771.32, 14,865.75 and 6,055.50

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Solution

The fourth proportional to 10,771.32, 14,865.75 and 6,055.50 is: 8,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.32 : 14,865.75 = 6,055.50 : x
  2. Step 2: Convert to fraction form
    10,771.32/14,865.75 = 6,055.50/x
  3. Step 3: Cross multiply
    10,771.32x = 14,865.75 × 6,055.50
  4. Step 4: Simplify right side
    10,771.32x = 90,019,549.13
  5. Step 5: Solve for x
    x = 90,019,549.13/10,771.32
  6. Step 6: Final answer
    x = 8,357.34

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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.