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Finding the Fourth Proportional to 10,943.84, 15,108.72 and 7,228.64

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Solution

The fourth proportional to 10,943.84, 15,108.72 and 7,228.64 is: 9,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.84 : 15,108.72 = 7,228.64 : x
  2. Step 2: Convert to fraction form
    10,943.84/15,108.72 = 7,228.64/x
  3. Step 3: Cross multiply
    10,943.84x = 15,108.72 × 7,228.64
  4. Step 4: Simplify right side
    10,943.84x = 109,215,497.74
  5. Step 5: Solve for x
    x = 109,215,497.74/10,943.84
  6. Step 6: Final answer
    x = 9,979.63

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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.