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Finding the Fourth Proportional to 10,374.87, 14,317.17 and 5,837.21

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Solution

The fourth proportional to 10,374.87, 14,317.17 and 5,837.21 is: 8,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.87 : 14,317.17 = 5,837.21 : x
  2. Step 2: Convert to fraction form
    10,374.87/14,317.17 = 5,837.21/x
  3. Step 3: Cross multiply
    10,374.87x = 14,317.17 × 5,837.21
  4. Step 4: Simplify right side
    10,374.87x = 83,572,320.94
  5. Step 5: Solve for x
    x = 83,572,320.94/10,374.87
  6. Step 6: Final answer
    x = 8,055.26

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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.