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Finding the Fourth Proportional to 27,864.88, 41,796.68 and 7,088.40

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Solution

The fourth proportional to 27,864.88, 41,796.68 and 7,088.40 is: 10,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.88 : 41,796.68 = 7,088.40 : x
  2. Step 2: Convert to fraction form
    27,864.88/41,796.68 = 7,088.40/x
  3. Step 3: Cross multiply
    27,864.88x = 41,796.68 × 7,088.40
  4. Step 4: Simplify right side
    27,864.88x = 296,271,586.51
  5. Step 5: Solve for x
    x = 296,271,586.51/27,864.88
  6. Step 6: Final answer
    x = 10,632.44

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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.