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Finding the Fourth Proportional to 7,134.91, 10,696.89 and 4,361.06

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Solution

The fourth proportional to 7,134.91, 10,696.89 and 4,361.06 is: 6,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.91 : 10,696.89 = 4,361.06 : x
  2. Step 2: Convert to fraction form
    7,134.91/10,696.89 = 4,361.06/x
  3. Step 3: Cross multiply
    7,134.91x = 10,696.89 × 4,361.06
  4. Step 4: Simplify right side
    7,134.91x = 46,649,779.10
  5. Step 5: Solve for x
    x = 46,649,779.10/7,134.91
  6. Step 6: Final answer
    x = 6,538.24

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Why These Related Problems?

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