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Finding the Fourth Proportional to 10,474.40, 15,692.16 and 7,005.44

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Solution

The fourth proportional to 10,474.40, 15,692.16 and 7,005.44 is: 10,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.40 : 15,692.16 = 7,005.44 : x
  2. Step 2: Convert to fraction form
    10,474.40/15,692.16 = 7,005.44/x
  3. Step 3: Cross multiply
    10,474.40x = 15,692.16 × 7,005.44
  4. Step 4: Simplify right side
    10,474.40x = 109,930,485.35
  5. Step 5: Solve for x
    x = 109,930,485.35/10,474.40
  6. Step 6: Final answer
    x = 10,495.16

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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.