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Finding the Fourth Proportional to 11,490.96, 15,856.76 and 6,455.67

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Solution

The fourth proportional to 11,490.96, 15,856.76 and 6,455.67 is: 8,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.96 : 15,856.76 = 6,455.67 : x
  2. Step 2: Convert to fraction form
    11,490.96/15,856.76 = 6,455.67/x
  3. Step 3: Cross multiply
    11,490.96x = 15,856.76 × 6,455.67
  4. Step 4: Simplify right side
    11,490.96x = 102,365,977.55
  5. Step 5: Solve for x
    x = 102,365,977.55/11,490.96
  6. Step 6: Final answer
    x = 8,908.39

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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.