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Finding the Fourth Proportional to 11,011.84, 15,200.64 and 7,284.48

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Solution

The fourth proportional to 11,011.84, 15,200.64 and 7,284.48 is: 10,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.84 : 15,200.64 = 7,284.48 : x
  2. Step 2: Convert to fraction form
    11,011.84/15,200.64 = 7,284.48/x
  3. Step 3: Cross multiply
    11,011.84x = 15,200.64 × 7,284.48
  4. Step 4: Simplify right side
    11,011.84x = 110,728,758.07
  5. Step 5: Solve for x
    x = 110,728,758.07/11,011.84
  6. Step 6: Final answer
    x = 10,055.43

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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.