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Finding the Fourth Proportional to 11,504.40, 17,256.70 and 6,307.44

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Solution

The fourth proportional to 11,504.40, 17,256.70 and 6,307.44 is: 9,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.40 : 17,256.70 = 6,307.44 : x
  2. Step 2: Convert to fraction form
    11,504.40/17,256.70 = 6,307.44/x
  3. Step 3: Cross multiply
    11,504.40x = 17,256.70 × 6,307.44
  4. Step 4: Simplify right side
    11,504.40x = 108,845,599.85
  5. Step 5: Solve for x
    x = 108,845,599.85/11,504.40
  6. Step 6: Final answer
    x = 9,461.21

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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.