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Finding the Fourth Proportional to 8,521.86, 11,760 and 4,744.94

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Solution

The fourth proportional to 8,521.86, 11,760 and 4,744.94 is: 6,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.86 : 11,760 = 4,744.94 : x
  2. Step 2: Convert to fraction form
    8,521.86/11,760 = 4,744.94/x
  3. Step 3: Cross multiply
    8,521.86x = 11,760 × 4,744.94
  4. Step 4: Simplify right side
    8,521.86x = 55,800,435.60
  5. Step 5: Solve for x
    x = 55,800,435.60/8,521.86
  6. Step 6: Final answer
    x = 6,547.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.