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Finding the Fourth Proportional to 11,568.42, 15,948.54 and 7,317.36

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Solution

The fourth proportional to 11,568.42, 15,948.54 and 7,317.36 is: 10,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.42 : 15,948.54 = 7,317.36 : x
  2. Step 2: Convert to fraction form
    11,568.42/15,948.54 = 7,317.36/x
  3. Step 3: Cross multiply
    11,568.42x = 15,948.54 × 7,317.36
  4. Step 4: Simplify right side
    11,568.42x = 116,701,208.65
  5. Step 5: Solve for x
    x = 116,701,208.65/11,568.42
  6. Step 6: Final answer
    x = 10,087.91

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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.