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Finding the Fourth Proportional to 11,601.88, 16,014.44 and 7,360

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Solution

The fourth proportional to 11,601.88, 16,014.44 and 7,360 is: 10,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.88 : 16,014.44 = 7,360 : x
  2. Step 2: Convert to fraction form
    11,601.88/16,014.44 = 7,360/x
  3. Step 3: Cross multiply
    11,601.88x = 16,014.44 × 7,360
  4. Step 4: Simplify right side
    11,601.88x = 117,866,278.40
  5. Step 5: Solve for x
    x = 117,866,278.40/11,601.88
  6. Step 6: Final answer
    x = 10,159.24

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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.