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Finding the Fourth Proportional to 11,486.58, 15,853.20 and 7,012.92

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Solution

The fourth proportional to 11,486.58, 15,853.20 and 7,012.92 is: 9,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.58 : 15,853.20 = 7,012.92 : x
  2. Step 2: Convert to fraction form
    11,486.58/15,853.20 = 7,012.92/x
  3. Step 3: Cross multiply
    11,486.58x = 15,853.20 × 7,012.92
  4. Step 4: Simplify right side
    11,486.58x = 111,177,223.34
  5. Step 5: Solve for x
    x = 111,177,223.34/11,486.58
  6. Step 6: Final answer
    x = 9,678.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.