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Finding the Fourth Proportional to 8,801.14, 12,145.74 and 4,822

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Solution

The fourth proportional to 8,801.14, 12,145.74 and 4,822 is: 6,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,801.14 : 12,145.74 = 4,822 : x
  2. Step 2: Convert to fraction form
    8,801.14/12,145.74 = 4,822/x
  3. Step 3: Cross multiply
    8,801.14x = 12,145.74 × 4,822
  4. Step 4: Simplify right side
    8,801.14x = 58,566,758.28
  5. Step 5: Solve for x
    x = 58,566,758.28/8,801.14
  6. Step 6: Final answer
    x = 6,654.45

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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.