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Finding the Fourth Proportional to 8,076, 11,144.88 and 4,764

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Solution

The fourth proportional to 8,076, 11,144.88 and 4,764 is: 6,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076 : 11,144.88 = 4,764 : x
  2. Step 2: Convert to fraction form
    8,076/11,144.88 = 4,764/x
  3. Step 3: Cross multiply
    8,076x = 11,144.88 × 4,764
  4. Step 4: Simplify right side
    8,076x = 53,094,208.32
  5. Step 5: Solve for x
    x = 53,094,208.32/8,076
  6. Step 6: Final answer
    x = 6,574.32

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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.