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Finding the Fourth Proportional to 8,882.16, 12,262.08 and 5,740.14

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Solution

The fourth proportional to 8,882.16, 12,262.08 and 5,740.14 is: 7,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.16 : 12,262.08 = 5,740.14 : x
  2. Step 2: Convert to fraction form
    8,882.16/12,262.08 = 5,740.14/x
  3. Step 3: Cross multiply
    8,882.16x = 12,262.08 × 5,740.14
  4. Step 4: Simplify right side
    8,882.16x = 70,386,055.89
  5. Step 5: Solve for x
    x = 70,386,055.89/8,882.16
  6. Step 6: Final answer
    x = 7,924.43

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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.