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Finding the Fourth Proportional to 10,562.85, 14,577.19 and 5,847.12

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Solution

The fourth proportional to 10,562.85, 14,577.19 and 5,847.12 is: 8,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.85 : 14,577.19 = 5,847.12 : x
  2. Step 2: Convert to fraction form
    10,562.85/14,577.19 = 5,847.12/x
  3. Step 3: Cross multiply
    10,562.85x = 14,577.19 × 5,847.12
  4. Step 4: Simplify right side
    10,562.85x = 85,234,564.58
  5. Step 5: Solve for x
    x = 85,234,564.58/10,562.85
  6. Step 6: Final answer
    x = 8,069.28

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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.