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Finding the Fourth Proportional to 6,160.06, 9,232.02 and 5,378.08

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Solution

The fourth proportional to 6,160.06, 9,232.02 and 5,378.08 is: 8,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.06 : 9,232.02 = 5,378.08 : x
  2. Step 2: Convert to fraction form
    6,160.06/9,232.02 = 5,378.08/x
  3. Step 3: Cross multiply
    6,160.06x = 9,232.02 × 5,378.08
  4. Step 4: Simplify right side
    6,160.06x = 49,650,542.12
  5. Step 5: Solve for x
    x = 49,650,542.12/6,160.06
  6. Step 6: Final answer
    x = 8,060.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.