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Finding the Fourth Proportional to 7,675.16, 11,490.86 and 6,505.11

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Solution

The fourth proportional to 7,675.16, 11,490.86 and 6,505.11 is: 9,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.16 : 11,490.86 = 6,505.11 : x
  2. Step 2: Convert to fraction form
    7,675.16/11,490.86 = 6,505.11/x
  3. Step 3: Cross multiply
    7,675.16x = 11,490.86 × 6,505.11
  4. Step 4: Simplify right side
    7,675.16x = 74,749,324.56
  5. Step 5: Solve for x
    x = 74,749,324.56/7,675.16
  6. Step 6: Final answer
    x = 9,739.13

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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.