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Finding the Fourth Proportional to 10,477.40, 15,692.88 and 6,083.96

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Solution

The fourth proportional to 10,477.40, 15,692.88 and 6,083.96 is: 9,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.40 : 15,692.88 = 6,083.96 : x
  2. Step 2: Convert to fraction form
    10,477.40/15,692.88 = 6,083.96/x
  3. Step 3: Cross multiply
    10,477.40x = 15,692.88 × 6,083.96
  4. Step 4: Simplify right side
    10,477.40x = 95,474,854.20
  5. Step 5: Solve for x
    x = 95,474,854.20/10,477.40
  6. Step 6: Final answer
    x = 9,112.46

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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.