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Finding the Fourth Proportional to 11,467.61, 15,825.15 and 6,433.10

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Solution

The fourth proportional to 11,467.61, 15,825.15 and 6,433.10 is: 8,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.61 : 15,825.15 = 6,433.10 : x
  2. Step 2: Convert to fraction form
    11,467.61/15,825.15 = 6,433.10/x
  3. Step 3: Cross multiply
    11,467.61x = 15,825.15 × 6,433.10
  4. Step 4: Simplify right side
    11,467.61x = 101,804,693.34
  5. Step 5: Solve for x
    x = 101,804,693.34/11,467.61
  6. Step 6: Final answer
    x = 8,877.59

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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.