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Finding the Fourth Proportional to 11,505.16, 15,877.38 and 6,787.72

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Solution

The fourth proportional to 11,505.16, 15,877.38 and 6,787.72 is: 9,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.16 : 15,877.38 = 6,787.72 : x
  2. Step 2: Convert to fraction form
    11,505.16/15,877.38 = 6,787.72/x
  3. Step 3: Cross multiply
    11,505.16x = 15,877.38 × 6,787.72
  4. Step 4: Simplify right side
    11,505.16x = 107,771,209.77
  5. Step 5: Solve for x
    x = 107,771,209.77/11,505.16
  6. Step 6: Final answer
    x = 9,367.21

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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.