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Finding the Fourth Proportional to 11,121.84, 15,345.84 and 7,142.40

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Solution

The fourth proportional to 11,121.84, 15,345.84 and 7,142.40 is: 9,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.84 : 15,345.84 = 7,142.40 : x
  2. Step 2: Convert to fraction form
    11,121.84/15,345.84 = 7,142.40/x
  3. Step 3: Cross multiply
    11,121.84x = 15,345.84 × 7,142.40
  4. Step 4: Simplify right side
    11,121.84x = 109,606,127.62
  5. Step 5: Solve for x
    x = 109,606,127.62/11,121.84
  6. Step 6: Final answer
    x = 9,855.04

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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.