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Finding the Fourth Proportional to 11,490.57, 15,858.35 and 6,454.80

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Solution

The fourth proportional to 11,490.57, 15,858.35 and 6,454.80 is: 8,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.57 : 15,858.35 = 6,454.80 : x
  2. Step 2: Convert to fraction form
    11,490.57/15,858.35 = 6,454.80/x
  3. Step 3: Cross multiply
    11,490.57x = 15,858.35 × 6,454.80
  4. Step 4: Simplify right side
    11,490.57x = 102,362,366.01
  5. Step 5: Solve for x
    x = 102,362,366.01/11,490.57
  6. Step 6: Final answer
    x = 8,908.38

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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.