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Finding the Fourth Proportional to 11,435.24, 15,779.76 and 6,398.53

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Solution

The fourth proportional to 11,435.24, 15,779.76 and 6,398.53 is: 8,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.24 : 15,779.76 = 6,398.53 : x
  2. Step 2: Convert to fraction form
    11,435.24/15,779.76 = 6,398.53/x
  3. Step 3: Cross multiply
    11,435.24x = 15,779.76 × 6,398.53
  4. Step 4: Simplify right side
    11,435.24x = 100,967,240.30
  5. Step 5: Solve for x
    x = 100,967,240.30/11,435.24
  6. Step 6: Final answer
    x = 8,829.48

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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.