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Finding the Fourth Proportional to 11,904.75, 16,428.47 and 6,868.53

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Solution

The fourth proportional to 11,904.75, 16,428.47 and 6,868.53 is: 9,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.75 : 16,428.47 = 6,868.53 : x
  2. Step 2: Convert to fraction form
    11,904.75/16,428.47 = 6,868.53/x
  3. Step 3: Cross multiply
    11,904.75x = 16,428.47 × 6,868.53
  4. Step 4: Simplify right side
    11,904.75x = 112,839,404.71
  5. Step 5: Solve for x
    x = 112,839,404.71/11,904.75
  6. Step 6: Final answer
    x = 9,478.52

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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.