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Finding the Fourth Proportional to 10,322.66, 15,484.80 and 4,082.96

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Solution

The fourth proportional to 10,322.66, 15,484.80 and 4,082.96 is: 6,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.66 : 15,484.80 = 4,082.96 : x
  2. Step 2: Convert to fraction form
    10,322.66/15,484.80 = 4,082.96/x
  3. Step 3: Cross multiply
    10,322.66x = 15,484.80 × 4,082.96
  4. Step 4: Simplify right side
    10,322.66x = 63,223,819.01
  5. Step 5: Solve for x
    x = 63,223,819.01/10,322.66
  6. Step 6: Final answer
    x = 6,124.76

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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.