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Finding the Fourth Proportional to 11,131.14, 15,360.71 and 6,095.58

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Solution

The fourth proportional to 11,131.14, 15,360.71 and 6,095.58 is: 8,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.14 : 15,360.71 = 6,095.58 : x
  2. Step 2: Convert to fraction form
    11,131.14/15,360.71 = 6,095.58/x
  3. Step 3: Cross multiply
    11,131.14x = 15,360.71 × 6,095.58
  4. Step 4: Simplify right side
    11,131.14x = 93,632,329.38
  5. Step 5: Solve for x
    x = 93,632,329.38/11,131.14
  6. Step 6: Final answer
    x = 8,411.74

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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.