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Finding the Fourth Proportional to 11,153.76, 15,392.05 and 6,437.94

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Solution

The fourth proportional to 11,153.76, 15,392.05 and 6,437.94 is: 8,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.76 : 15,392.05 = 6,437.94 : x
  2. Step 2: Convert to fraction form
    11,153.76/15,392.05 = 6,437.94/x
  3. Step 3: Cross multiply
    11,153.76x = 15,392.05 × 6,437.94
  4. Step 4: Simplify right side
    11,153.76x = 99,093,094.38
  5. Step 5: Solve for x
    x = 99,093,094.38/11,153.76
  6. Step 6: Final answer
    x = 8,884.28

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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.