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Finding the Fourth Proportional to 8,582.81, 11,844.31 and 4,806.14

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Solution

The fourth proportional to 8,582.81, 11,844.31 and 4,806.14 is: 6,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.81 : 11,844.31 = 4,806.14 : x
  2. Step 2: Convert to fraction form
    8,582.81/11,844.31 = 4,806.14/x
  3. Step 3: Cross multiply
    8,582.81x = 11,844.31 × 4,806.14
  4. Step 4: Simplify right side
    8,582.81x = 56,925,412.06
  5. Step 5: Solve for x
    x = 56,925,412.06/8,582.81
  6. Step 6: Final answer
    x = 6,632.49

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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.