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Finding the Fourth Proportional to 11,174.88, 15,422.80 and 6,460.64

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Solution

The fourth proportional to 11,174.88, 15,422.80 and 6,460.64 is: 8,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.88 : 15,422.80 = 6,460.64 : x
  2. Step 2: Convert to fraction form
    11,174.88/15,422.80 = 6,460.64/x
  3. Step 3: Cross multiply
    11,174.88x = 15,422.80 × 6,460.64
  4. Step 4: Simplify right side
    11,174.88x = 99,641,158.59
  5. Step 5: Solve for x
    x = 99,641,158.59/11,174.88
  6. Step 6: Final answer
    x = 8,916.53

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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.