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Finding the Fourth Proportional to 11,490.18, 15,856.38 and 6,454.41

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Solution

The fourth proportional to 11,490.18, 15,856.38 and 6,454.41 is: 8,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.18 : 15,856.38 = 6,454.41 : x
  2. Step 2: Convert to fraction form
    11,490.18/15,856.38 = 6,454.41/x
  3. Step 3: Cross multiply
    11,490.18x = 15,856.38 × 6,454.41
  4. Step 4: Simplify right side
    11,490.18x = 102,343,577.64
  5. Step 5: Solve for x
    x = 102,343,577.64/11,490.18
  6. Step 6: Final answer
    x = 8,907.05

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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.