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Finding the Fourth Proportional to 10,463.67, 15,696.90 and 3,068.64

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Solution

The fourth proportional to 10,463.67, 15,696.90 and 3,068.64 is: 4,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.67 : 15,696.90 = 3,068.64 : x
  2. Step 2: Convert to fraction form
    10,463.67/15,696.90 = 3,068.64/x
  3. Step 3: Cross multiply
    10,463.67x = 15,696.90 × 3,068.64
  4. Step 4: Simplify right side
    10,463.67x = 48,168,135.22
  5. Step 5: Solve for x
    x = 48,168,135.22/10,463.67
  6. Step 6: Final answer
    x = 4,603.37

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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.