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Finding the Fourth Proportional to 11,152.94, 15,391.28 and 6,116.87

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Solution

The fourth proportional to 11,152.94, 15,391.28 and 6,116.87 is: 8,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.94 : 15,391.28 = 6,116.87 : x
  2. Step 2: Convert to fraction form
    11,152.94/15,391.28 = 6,116.87/x
  3. Step 3: Cross multiply
    11,152.94x = 15,391.28 × 6,116.87
  4. Step 4: Simplify right side
    11,152.94x = 94,146,351.35
  5. Step 5: Solve for x
    x = 94,146,351.35/11,152.94
  6. Step 6: Final answer
    x = 8,441.40

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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.