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Finding the Fourth Proportional to 8,389.34, 11,582.36 and 5,559.12

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Solution

The fourth proportional to 8,389.34, 11,582.36 and 5,559.12 is: 7,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.34 : 11,582.36 = 5,559.12 : x
  2. Step 2: Convert to fraction form
    8,389.34/11,582.36 = 5,559.12/x
  3. Step 3: Cross multiply
    8,389.34x = 11,582.36 × 5,559.12
  4. Step 4: Simplify right side
    8,389.34x = 64,387,729.12
  5. Step 5: Solve for x
    x = 64,387,729.12/8,389.34
  6. Step 6: Final answer
    x = 7,674.95

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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.