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Finding the Fourth Proportional to 27,528.64, 41,292.94 and 7,807.36

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Solution

The fourth proportional to 27,528.64, 41,292.94 and 7,807.36 is: 11,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,528.64 : 41,292.94 = 7,807.36 : x
  2. Step 2: Convert to fraction form
    27,528.64/41,292.94 = 7,807.36/x
  3. Step 3: Cross multiply
    27,528.64x = 41,292.94 × 7,807.36
  4. Step 4: Simplify right side
    27,528.64x = 322,388,848.04
  5. Step 5: Solve for x
    x = 322,388,848.04/27,528.64
  6. Step 6: Final answer
    x = 11,711.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.