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Finding the Fourth Proportional to 10,504.40, 14,495.64 and 6,722.24

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Solution

The fourth proportional to 10,504.40, 14,495.64 and 6,722.24 is: 9,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.40 : 14,495.64 = 6,722.24 : x
  2. Step 2: Convert to fraction form
    10,504.40/14,495.64 = 6,722.24/x
  3. Step 3: Cross multiply
    10,504.40x = 14,495.64 × 6,722.24
  4. Step 4: Simplify right side
    10,504.40x = 97,443,171.03
  5. Step 5: Solve for x
    x = 97,443,171.03/10,504.40
  6. Step 6: Final answer
    x = 9,276.41

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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.