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Finding the Fourth Proportional to 8,874.99, 12,247.34 and 4,896

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Solution

The fourth proportional to 8,874.99, 12,247.34 and 4,896 is: 6,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.99 : 12,247.34 = 4,896 : x
  2. Step 2: Convert to fraction form
    8,874.99/12,247.34 = 4,896/x
  3. Step 3: Cross multiply
    8,874.99x = 12,247.34 × 4,896
  4. Step 4: Simplify right side
    8,874.99x = 59,962,952.16
  5. Step 5: Solve for x
    x = 59,962,952.16/8,874.99
  6. Step 6: Final answer
    x = 6,756.40

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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.