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Finding the Fourth Proportional to 10,171.41, 14,034.93 and 5,695.35

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Solution

The fourth proportional to 10,171.41, 14,034.93 and 5,695.35 is: 7,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.41 : 14,034.93 = 5,695.35 : x
  2. Step 2: Convert to fraction form
    10,171.41/14,034.93 = 5,695.35/x
  3. Step 3: Cross multiply
    10,171.41x = 14,034.93 × 5,695.35
  4. Step 4: Simplify right side
    10,171.41x = 79,933,838.58
  5. Step 5: Solve for x
    x = 79,933,838.58/10,171.41
  6. Step 6: Final answer
    x = 7,858.68

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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.