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Finding the Fourth Proportional to 11,915.87, 16,444.34 and 7,199.24

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Solution

The fourth proportional to 11,915.87, 16,444.34 and 7,199.24 is: 9,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.87 : 16,444.34 = 7,199.24 : x
  2. Step 2: Convert to fraction form
    11,915.87/16,444.34 = 7,199.24/x
  3. Step 3: Cross multiply
    11,915.87x = 16,444.34 × 7,199.24
  4. Step 4: Simplify right side
    11,915.87x = 118,386,750.30
  5. Step 5: Solve for x
    x = 118,386,750.30/11,915.87
  6. Step 6: Final answer
    x = 9,935.22

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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.