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Finding the Fourth Proportional to 11,330.88, 15,639.84 and 6,617.76

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Solution

The fourth proportional to 11,330.88, 15,639.84 and 6,617.76 is: 9,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.88 : 15,639.84 = 6,617.76 : x
  2. Step 2: Convert to fraction form
    11,330.88/15,639.84 = 6,617.76/x
  3. Step 3: Cross multiply
    11,330.88x = 15,639.84 × 6,617.76
  4. Step 4: Simplify right side
    11,330.88x = 103,500,707.56
  5. Step 5: Solve for x
    x = 103,500,707.56/11,330.88
  6. Step 6: Final answer
    x = 9,134.39

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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.