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Finding the Fourth Proportional to 11,095.94, 15,312.01 and 6,617.38

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Solution

The fourth proportional to 11,095.94, 15,312.01 and 6,617.38 is: 9,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.94 : 15,312.01 = 6,617.38 : x
  2. Step 2: Convert to fraction form
    11,095.94/15,312.01 = 6,617.38/x
  3. Step 3: Cross multiply
    11,095.94x = 15,312.01 × 6,617.38
  4. Step 4: Simplify right side
    11,095.94x = 101,325,333.91
  5. Step 5: Solve for x
    x = 101,325,333.91/11,095.94
  6. Step 6: Final answer
    x = 9,131.75

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Why These Related Problems?

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