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Finding the Fourth Proportional to 6,505.08, 8,969.58 and 5,178.84

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Solution

The fourth proportional to 6,505.08, 8,969.58 and 5,178.84 is: 7,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.08 : 8,969.58 = 5,178.84 : x
  2. Step 2: Convert to fraction form
    6,505.08/8,969.58 = 5,178.84/x
  3. Step 3: Cross multiply
    6,505.08x = 8,969.58 × 5,178.84
  4. Step 4: Simplify right side
    6,505.08x = 46,452,019.69
  5. Step 5: Solve for x
    x = 46,452,019.69/6,505.08
  6. Step 6: Final answer
    x = 7,140.88

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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.