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Finding the Fourth Proportional to 10,576.79, 14,599.63 and 6,102.32

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Solution

The fourth proportional to 10,576.79, 14,599.63 and 6,102.32 is: 8,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.79 : 14,599.63 = 6,102.32 : x
  2. Step 2: Convert to fraction form
    10,576.79/14,599.63 = 6,102.32/x
  3. Step 3: Cross multiply
    10,576.79x = 14,599.63 × 6,102.32
  4. Step 4: Simplify right side
    10,576.79x = 89,091,635.38
  5. Step 5: Solve for x
    x = 89,091,635.38/10,576.79
  6. Step 6: Final answer
    x = 8,423.31

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Why These Related Problems?

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