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Finding the Fourth Proportional to 10,175.64, 15,253.73 and 6,466.38

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Solution

The fourth proportional to 10,175.64, 15,253.73 and 6,466.38 is: 9,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.64 : 15,253.73 = 6,466.38 : x
  2. Step 2: Convert to fraction form
    10,175.64/15,253.73 = 6,466.38/x
  3. Step 3: Cross multiply
    10,175.64x = 15,253.73 × 6,466.38
  4. Step 4: Simplify right side
    10,175.64x = 98,636,414.60
  5. Step 5: Solve for x
    x = 98,636,414.60/10,175.64
  6. Step 6: Final answer
    x = 9,693.39

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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.