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Finding the Fourth Proportional to 8,302.68, 11,455.38 and 4,764.60

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Solution

The fourth proportional to 8,302.68, 11,455.38 and 4,764.60 is: 6,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.68 : 11,455.38 = 4,764.60 : x
  2. Step 2: Convert to fraction form
    8,302.68/11,455.38 = 4,764.60/x
  3. Step 3: Cross multiply
    8,302.68x = 11,455.38 × 4,764.60
  4. Step 4: Simplify right side
    8,302.68x = 54,580,303.55
  5. Step 5: Solve for x
    x = 54,580,303.55/8,302.68
  6. Step 6: Final answer
    x = 6,573.82

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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.