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Finding the Fourth Proportional to 10,513.62, 15,773.52 and 3,118.26

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Solution

The fourth proportional to 10,513.62, 15,773.52 and 3,118.26 is: 4,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.62 : 15,773.52 = 3,118.26 : x
  2. Step 2: Convert to fraction form
    10,513.62/15,773.52 = 3,118.26/x
  3. Step 3: Cross multiply
    10,513.62x = 15,773.52 × 3,118.26
  4. Step 4: Simplify right side
    10,513.62x = 49,185,936.48
  5. Step 5: Solve for x
    x = 49,185,936.48/10,513.62
  6. Step 6: Final answer
    x = 4,678.31

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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.