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Finding the Fourth Proportional to 11,471.01, 15,830.15 and 6,436.32

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Solution

The fourth proportional to 11,471.01, 15,830.15 and 6,436.32 is: 8,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.01 : 15,830.15 = 6,436.32 : x
  2. Step 2: Convert to fraction form
    11,471.01/15,830.15 = 6,436.32/x
  3. Step 3: Cross multiply
    11,471.01x = 15,830.15 × 6,436.32
  4. Step 4: Simplify right side
    11,471.01x = 101,887,911.05
  5. Step 5: Solve for x
    x = 101,887,911.05/11,471.01
  6. Step 6: Final answer
    x = 8,882.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.