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Finding the Fourth Proportional to 10,576.11, 14,596.59 and 6,099

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Solution

The fourth proportional to 10,576.11, 14,596.59 and 6,099 is: 8,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.11 : 14,596.59 = 6,099 : x
  2. Step 2: Convert to fraction form
    10,576.11/14,596.59 = 6,099/x
  3. Step 3: Cross multiply
    10,576.11x = 14,596.59 × 6,099
  4. Step 4: Simplify right side
    10,576.11x = 89,024,602.41
  5. Step 5: Solve for x
    x = 89,024,602.41/10,576.11
  6. Step 6: Final answer
    x = 8,417.52

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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.