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Finding the Fourth Proportional to 10,499.49, 14,491.40 and 6,026.27

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Solution

The fourth proportional to 10,499.49, 14,491.40 and 6,026.27 is: 8,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.49 : 14,491.40 = 6,026.27 : x
  2. Step 2: Convert to fraction form
    10,499.49/14,491.40 = 6,026.27/x
  3. Step 3: Cross multiply
    10,499.49x = 14,491.40 × 6,026.27
  4. Step 4: Simplify right side
    10,499.49x = 87,328,986.49
  5. Step 5: Solve for x
    x = 87,328,986.49/10,499.49
  6. Step 6: Final answer
    x = 8,317.45

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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.