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Finding the Fourth Proportional to 10,458.34, 15,692.89 and 6,950.75

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Solution

The fourth proportional to 10,458.34, 15,692.89 and 6,950.75 is: 10,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.34 : 15,692.89 = 6,950.75 : x
  2. Step 2: Convert to fraction form
    10,458.34/15,692.89 = 6,950.75/x
  3. Step 3: Cross multiply
    10,458.34x = 15,692.89 × 6,950.75
  4. Step 4: Simplify right side
    10,458.34x = 109,077,377.02
  5. Step 5: Solve for x
    x = 109,077,377.02/10,458.34
  6. Step 6: Final answer
    x = 10,429.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.