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Finding the Fourth Proportional to 10,574.56, 15,861.76 and 3,648.96

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Solution

The fourth proportional to 10,574.56, 15,861.76 and 3,648.96 is: 5,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.56 : 15,861.76 = 3,648.96 : x
  2. Step 2: Convert to fraction form
    10,574.56/15,861.76 = 3,648.96/x
  3. Step 3: Cross multiply
    10,574.56x = 15,861.76 × 3,648.96
  4. Step 4: Simplify right side
    10,574.56x = 57,878,927.77
  5. Step 5: Solve for x
    x = 57,878,927.77/10,574.56
  6. Step 6: Final answer
    x = 5,473.41

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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.