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Finding the Fourth Proportional to 11,175.84, 15,419.16 and 8,347.32

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Solution

The fourth proportional to 11,175.84, 15,419.16 and 8,347.32 is: 11,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.84 : 15,419.16 = 8,347.32 : x
  2. Step 2: Convert to fraction form
    11,175.84/15,419.16 = 8,347.32/x
  3. Step 3: Cross multiply
    11,175.84x = 15,419.16 × 8,347.32
  4. Step 4: Simplify right side
    11,175.84x = 128,708,662.65
  5. Step 5: Solve for x
    x = 128,708,662.65/11,175.84
  6. Step 6: Final answer
    x = 11,516.69

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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.