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Finding the Fourth Proportional to 10,170.63, 14,035.82 and 5,694.57

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Solution

The fourth proportional to 10,170.63, 14,035.82 and 5,694.57 is: 7,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.63 : 14,035.82 = 5,694.57 : x
  2. Step 2: Convert to fraction form
    10,170.63/14,035.82 = 5,694.57/x
  3. Step 3: Cross multiply
    10,170.63x = 14,035.82 × 5,694.57
  4. Step 4: Simplify right side
    10,170.63x = 79,927,931.02
  5. Step 5: Solve for x
    x = 79,927,931.02/10,170.63
  6. Step 6: Final answer
    x = 7,858.70

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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.