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Finding the Fourth Proportional to 10,375.66, 14,317.84 and 5,898.78

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Solution

The fourth proportional to 10,375.66, 14,317.84 and 5,898.78 is: 8,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.66 : 14,317.84 = 5,898.78 : x
  2. Step 2: Convert to fraction form
    10,375.66/14,317.84 = 5,898.78/x
  3. Step 3: Cross multiply
    10,375.66x = 14,317.84 × 5,898.78
  4. Step 4: Simplify right side
    10,375.66x = 84,457,788.24
  5. Step 5: Solve for x
    x = 84,457,788.24/10,375.66
  6. Step 6: Final answer
    x = 8,139.99

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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.