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Finding the Fourth Proportional to 10,458.05, 15,692.46 and 6,950.48

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Solution

The fourth proportional to 10,458.05, 15,692.46 and 6,950.48 is: 10,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.05 : 15,692.46 = 6,950.48 : x
  2. Step 2: Convert to fraction form
    10,458.05/15,692.46 = 6,950.48/x
  3. Step 3: Cross multiply
    10,458.05x = 15,692.46 × 6,950.48
  4. Step 4: Simplify right side
    10,458.05x = 109,070,050.92
  5. Step 5: Solve for x
    x = 109,070,050.92/10,458.05
  6. Step 6: Final answer
    x = 10,429.29

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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.