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Finding the Fourth Proportional to 10,574.85, 15,861.70 and 3,554.14

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Solution

The fourth proportional to 10,574.85, 15,861.70 and 3,554.14 is: 5,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.85 : 15,861.70 = 3,554.14 : x
  2. Step 2: Convert to fraction form
    10,574.85/15,861.70 = 3,554.14/x
  3. Step 3: Cross multiply
    10,574.85x = 15,861.70 × 3,554.14
  4. Step 4: Simplify right side
    10,574.85x = 56,374,734.02
  5. Step 5: Solve for x
    x = 56,374,734.02/10,574.85
  6. Step 6: Final answer
    x = 5,331.02

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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.