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Finding the Fourth Proportional to 10,617.36, 15,925.68 and 3,691.68

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Solution

The fourth proportional to 10,617.36, 15,925.68 and 3,691.68 is: 5,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.36 : 15,925.68 = 3,691.68 : x
  2. Step 2: Convert to fraction form
    10,617.36/15,925.68 = 3,691.68/x
  3. Step 3: Cross multiply
    10,617.36x = 15,925.68 × 3,691.68
  4. Step 4: Simplify right side
    10,617.36x = 58,792,514.34
  5. Step 5: Solve for x
    x = 58,792,514.34/10,617.36
  6. Step 6: Final answer
    x = 5,537.39

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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.