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Finding the Fourth Proportional to 8,523.84, 11,762.78 and 4,746.90

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Solution

The fourth proportional to 8,523.84, 11,762.78 and 4,746.90 is: 6,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.84 : 11,762.78 = 4,746.90 : x
  2. Step 2: Convert to fraction form
    8,523.84/11,762.78 = 4,746.90/x
  3. Step 3: Cross multiply
    8,523.84x = 11,762.78 × 4,746.90
  4. Step 4: Simplify right side
    8,523.84x = 55,836,740.38
  5. Step 5: Solve for x
    x = 55,836,740.38/8,523.84
  6. Step 6: Final answer
    x = 6,550.66

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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.