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Finding the Fourth Proportional to 11,808.14, 17,738.19 and 7,130.93

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Solution

The fourth proportional to 11,808.14, 17,738.19 and 7,130.93 is: 10,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.14 : 17,738.19 = 7,130.93 : x
  2. Step 2: Convert to fraction form
    11,808.14/17,738.19 = 7,130.93/x
  3. Step 3: Cross multiply
    11,808.14x = 17,738.19 × 7,130.93
  4. Step 4: Simplify right side
    11,808.14x = 126,489,702.53
  5. Step 5: Solve for x
    x = 126,489,702.53/11,808.14
  6. Step 6: Final answer
    x = 10,712.08

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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.