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Finding the Fourth Proportional to 11,486.29, 15,852.82 and 7,012.65

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Solution

The fourth proportional to 11,486.29, 15,852.82 and 7,012.65 is: 9,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.29 : 15,852.82 = 7,012.65 : x
  2. Step 2: Convert to fraction form
    11,486.29/15,852.82 = 7,012.65/x
  3. Step 3: Cross multiply
    11,486.29x = 15,852.82 × 7,012.65
  4. Step 4: Simplify right side
    11,486.29x = 111,170,243.11
  5. Step 5: Solve for x
    x = 111,170,243.11/11,486.29
  6. Step 6: Final answer
    x = 9,678.52

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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.