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Finding the Fourth Proportional to 11,017.84, 15,203.58 and 6,238

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Solution

The fourth proportional to 11,017.84, 15,203.58 and 6,238 is: 8,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.84 : 15,203.58 = 6,238 : x
  2. Step 2: Convert to fraction form
    11,017.84/15,203.58 = 6,238/x
  3. Step 3: Cross multiply
    11,017.84x = 15,203.58 × 6,238
  4. Step 4: Simplify right side
    11,017.84x = 94,839,932.04
  5. Step 5: Solve for x
    x = 94,839,932.04/11,017.84
  6. Step 6: Final answer
    x = 8,607.85

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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.