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Finding the Fourth Proportional to 10,384.17, 15,555.24 and 7,889.76

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Solution

The fourth proportional to 10,384.17, 15,555.24 and 7,889.76 is: 11,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.17 : 15,555.24 = 7,889.76 : x
  2. Step 2: Convert to fraction form
    10,384.17/15,555.24 = 7,889.76/x
  3. Step 3: Cross multiply
    10,384.17x = 15,555.24 × 7,889.76
  4. Step 4: Simplify right side
    10,384.17x = 122,727,110.34
  5. Step 5: Solve for x
    x = 122,727,110.34/10,384.17
  6. Step 6: Final answer
    x = 11,818.67

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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.