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Finding the Fourth Proportional to 10,699.31, 16,043.09 and 3,675.40

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Solution

The fourth proportional to 10,699.31, 16,043.09 and 3,675.40 is: 5,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.31 : 16,043.09 = 3,675.40 : x
  2. Step 2: Convert to fraction form
    10,699.31/16,043.09 = 3,675.40/x
  3. Step 3: Cross multiply
    10,699.31x = 16,043.09 × 3,675.40
  4. Step 4: Simplify right side
    10,699.31x = 58,964,714.50
  5. Step 5: Solve for x
    x = 58,964,714.50/10,699.31
  6. Step 6: Final answer
    x = 5,511.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.