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Finding the Fourth Proportional to 11,174.88, 15,420.44 and 6,459.47

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Solution

The fourth proportional to 11,174.88, 15,420.44 and 6,459.47 is: 8,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.88 : 15,420.44 = 6,459.47 : x
  2. Step 2: Convert to fraction form
    11,174.88/15,420.44 = 6,459.47/x
  3. Step 3: Cross multiply
    11,174.88x = 15,420.44 × 6,459.47
  4. Step 4: Simplify right side
    11,174.88x = 99,607,869.57
  5. Step 5: Solve for x
    x = 99,607,869.57/11,174.88
  6. Step 6: Final answer
    x = 8,913.55

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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.