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Finding the Fourth Proportional to 11,815.34, 17,705.12 and 7,130.12

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Solution

The fourth proportional to 11,815.34, 17,705.12 and 7,130.12 is: 10,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.34 : 17,705.12 = 7,130.12 : x
  2. Step 2: Convert to fraction form
    11,815.34/17,705.12 = 7,130.12/x
  3. Step 3: Cross multiply
    11,815.34x = 17,705.12 × 7,130.12
  4. Step 4: Simplify right side
    11,815.34x = 126,239,506.04
  5. Step 5: Solve for x
    x = 126,239,506.04/11,815.34
  6. Step 6: Final answer
    x = 10,684.38

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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.