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Finding the Fourth Proportional to 10,699.40, 16,043.37 and 3,580.50

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Solution

The fourth proportional to 10,699.40, 16,043.37 and 3,580.50 is: 5,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.40 : 16,043.37 = 3,580.50 : x
  2. Step 2: Convert to fraction form
    10,699.40/16,043.37 = 3,580.50/x
  3. Step 3: Cross multiply
    10,699.40x = 16,043.37 × 3,580.50
  4. Step 4: Simplify right side
    10,699.40x = 57,443,286.29
  5. Step 5: Solve for x
    x = 57,443,286.29/10,699.40
  6. Step 6: Final answer
    x = 5,368.83

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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.