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Finding the Fourth Proportional to 8,343.65, 11,514.26 and 5,359.51

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Solution

The fourth proportional to 8,343.65, 11,514.26 and 5,359.51 is: 7,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.65 : 11,514.26 = 5,359.51 : x
  2. Step 2: Convert to fraction form
    8,343.65/11,514.26 = 5,359.51/x
  3. Step 3: Cross multiply
    8,343.65x = 11,514.26 × 5,359.51
  4. Step 4: Simplify right side
    8,343.65x = 61,710,776.23
  5. Step 5: Solve for x
    x = 61,710,776.23/8,343.65
  6. Step 6: Final answer
    x = 7,396.14

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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.