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Finding the Fourth Proportional to 8,547.84, 12,814.92 and 5,739.60

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Solution

The fourth proportional to 8,547.84, 12,814.92 and 5,739.60 is: 8,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.84 : 12,814.92 = 5,739.60 : x
  2. Step 2: Convert to fraction form
    8,547.84/12,814.92 = 5,739.60/x
  3. Step 3: Cross multiply
    8,547.84x = 12,814.92 × 5,739.60
  4. Step 4: Simplify right side
    8,547.84x = 73,552,514.83
  5. Step 5: Solve for x
    x = 73,552,514.83/8,547.84
  6. Step 6: Final answer
    x = 8,604.81

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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.