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Finding the Fourth Proportional to 7,505.78, 10,333.76 and 6,177.20

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Solution

The fourth proportional to 7,505.78, 10,333.76 and 6,177.20 is: 8,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.78 : 10,333.76 = 6,177.20 : x
  2. Step 2: Convert to fraction form
    7,505.78/10,333.76 = 6,177.20/x
  3. Step 3: Cross multiply
    7,505.78x = 10,333.76 × 6,177.20
  4. Step 4: Simplify right side
    7,505.78x = 63,833,619.72
  5. Step 5: Solve for x
    x = 63,833,619.72/7,505.78
  6. Step 6: Final answer
    x = 8,504.60

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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.