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Finding the Fourth Proportional to 11,648.88, 16,069.68 and 7,405.20

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Solution

The fourth proportional to 11,648.88, 16,069.68 and 7,405.20 is: 10,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.88 : 16,069.68 = 7,405.20 : x
  2. Step 2: Convert to fraction form
    11,648.88/16,069.68 = 7,405.20/x
  3. Step 3: Cross multiply
    11,648.88x = 16,069.68 × 7,405.20
  4. Step 4: Simplify right side
    11,648.88x = 118,999,194.34
  5. Step 5: Solve for x
    x = 118,999,194.34/11,648.88
  6. Step 6: Final answer
    x = 10,215.51

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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.