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Finding the Fourth Proportional to 8,300.32, 11,454.35 and 4,764.09

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Solution

The fourth proportional to 8,300.32, 11,454.35 and 4,764.09 is: 6,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.32 : 11,454.35 = 4,764.09 : x
  2. Step 2: Convert to fraction form
    8,300.32/11,454.35 = 4,764.09/x
  3. Step 3: Cross multiply
    8,300.32x = 11,454.35 × 4,764.09
  4. Step 4: Simplify right side
    8,300.32x = 54,569,554.29
  5. Step 5: Solve for x
    x = 54,569,554.29/8,300.32
  6. Step 6: Final answer
    x = 6,574.39

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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.