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Finding the Fourth Proportional to 11,586.98, 15,987.33 and 7,817.13

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Solution

The fourth proportional to 11,586.98, 15,987.33 and 7,817.13 is: 10,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.98 : 15,987.33 = 7,817.13 : x
  2. Step 2: Convert to fraction form
    11,586.98/15,987.33 = 7,817.13/x
  3. Step 3: Cross multiply
    11,586.98x = 15,987.33 × 7,817.13
  4. Step 4: Simplify right side
    11,586.98x = 124,975,036.96
  5. Step 5: Solve for x
    x = 124,975,036.96/11,586.98
  6. Step 6: Final answer
    x = 10,785.81

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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.