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Finding the Fourth Proportional to 11,307.42, 16,957.98 and 7,141.32

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Solution

The fourth proportional to 11,307.42, 16,957.98 and 7,141.32 is: 10,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.42 : 16,957.98 = 7,141.32 : x
  2. Step 2: Convert to fraction form
    11,307.42/16,957.98 = 7,141.32/x
  3. Step 3: Cross multiply
    11,307.42x = 16,957.98 × 7,141.32
  4. Step 4: Simplify right side
    11,307.42x = 121,102,361.73
  5. Step 5: Solve for x
    x = 121,102,361.73/11,307.42
  6. Step 6: Final answer
    x = 10,709.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.