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Finding the Fourth Proportional to 10,576.50, 14,595.60 and 6,384.78

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Solution

The fourth proportional to 10,576.50, 14,595.60 and 6,384.78 is: 8,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.50 : 14,595.60 = 6,384.78 : x
  2. Step 2: Convert to fraction form
    10,576.50/14,595.60 = 6,384.78/x
  3. Step 3: Cross multiply
    10,576.50x = 14,595.60 × 6,384.78
  4. Step 4: Simplify right side
    10,576.50x = 93,189,694.97
  5. Step 5: Solve for x
    x = 93,189,694.97/10,576.50
  6. Step 6: Final answer
    x = 8,811.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.