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Finding the Fourth Proportional to 11,472.23, 15,830.78 and 6,435.32

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Solution

The fourth proportional to 11,472.23, 15,830.78 and 6,435.32 is: 8,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.23 : 15,830.78 = 6,435.32 : x
  2. Step 2: Convert to fraction form
    11,472.23/15,830.78 = 6,435.32/x
  3. Step 3: Cross multiply
    11,472.23x = 15,830.78 × 6,435.32
  4. Step 4: Simplify right side
    11,472.23x = 101,876,023.82
  5. Step 5: Solve for x
    x = 101,876,023.82/11,472.23
  6. Step 6: Final answer
    x = 8,880.23

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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.