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Finding the Fourth Proportional to 10,511.71, 14,505.50 and 6,032.31

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Solution

The fourth proportional to 10,511.71, 14,505.50 and 6,032.31 is: 8,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.71 : 14,505.50 = 6,032.31 : x
  2. Step 2: Convert to fraction form
    10,511.71/14,505.50 = 6,032.31/x
  3. Step 3: Cross multiply
    10,511.71x = 14,505.50 × 6,032.31
  4. Step 4: Simplify right side
    10,511.71x = 87,501,714.98
  5. Step 5: Solve for x
    x = 87,501,714.98/10,511.71
  6. Step 6: Final answer
    x = 8,324.21

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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.