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Finding the Fourth Proportional to 10,599.24, 15,897.18 and 6,384.78

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Solution

The fourth proportional to 10,599.24, 15,897.18 and 6,384.78 is: 9,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.24 : 15,897.18 = 6,384.78 : x
  2. Step 2: Convert to fraction form
    10,599.24/15,897.18 = 6,384.78/x
  3. Step 3: Cross multiply
    10,599.24x = 15,897.18 × 6,384.78
  4. Step 4: Simplify right side
    10,599.24x = 101,499,996.92
  5. Step 5: Solve for x
    x = 101,499,996.92/10,599.24
  6. Step 6: Final answer
    x = 9,576.16

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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.