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Finding the Fourth Proportional to 10,576.78, 14,595.94 and 6,100.46

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Solution

The fourth proportional to 10,576.78, 14,595.94 and 6,100.46 is: 8,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.78 : 14,595.94 = 6,100.46 : x
  2. Step 2: Convert to fraction form
    10,576.78/14,595.94 = 6,100.46/x
  3. Step 3: Cross multiply
    10,576.78x = 14,595.94 × 6,100.46
  4. Step 4: Simplify right side
    10,576.78x = 89,041,948.13
  5. Step 5: Solve for x
    x = 89,041,948.13/10,576.78
  6. Step 6: Final answer
    x = 8,418.63

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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.