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Finding the Fourth Proportional to 10,576.45, 14,597.03 and 6,099.31

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Solution

The fourth proportional to 10,576.45, 14,597.03 and 6,099.31 is: 8,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.45 : 14,597.03 = 6,099.31 : x
  2. Step 2: Convert to fraction form
    10,576.45/14,597.03 = 6,099.31/x
  3. Step 3: Cross multiply
    10,576.45x = 14,597.03 × 6,099.31
  4. Step 4: Simplify right side
    10,576.45x = 89,031,707.57
  5. Step 5: Solve for x
    x = 89,031,707.57/10,576.45
  6. Step 6: Final answer
    x = 8,417.92

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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.