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Finding the Fourth Proportional to 11,900.17, 16,422.92 and 7,185.16

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Solution

The fourth proportional to 11,900.17, 16,422.92 and 7,185.16 is: 9,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.17 : 16,422.92 = 7,185.16 : x
  2. Step 2: Convert to fraction form
    11,900.17/16,422.92 = 7,185.16/x
  3. Step 3: Cross multiply
    11,900.17x = 16,422.92 × 7,185.16
  4. Step 4: Simplify right side
    11,900.17x = 118,001,307.87
  5. Step 5: Solve for x
    x = 118,001,307.87/11,900.17
  6. Step 6: Final answer
    x = 9,915.93

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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.