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Finding the Fourth Proportional to 10,175.15, 14,041.96 and 5,699.87

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Solution

The fourth proportional to 10,175.15, 14,041.96 and 5,699.87 is: 7,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.15 : 14,041.96 = 5,699.87 : x
  2. Step 2: Convert to fraction form
    10,175.15/14,041.96 = 5,699.87/x
  3. Step 3: Cross multiply
    10,175.15x = 14,041.96 × 5,699.87
  4. Step 4: Simplify right side
    10,175.15x = 80,037,314.74
  5. Step 5: Solve for x
    x = 80,037,314.74/10,175.15
  6. Step 6: Final answer
    x = 7,865.96

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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.