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Finding the Fourth Proportional to 8,300.52, 11,455.74 and 4,764.24

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Solution

The fourth proportional to 8,300.52, 11,455.74 and 4,764.24 is: 6,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.52 : 11,455.74 = 4,764.24 : x
  2. Step 2: Convert to fraction form
    8,300.52/11,455.74 = 4,764.24/x
  3. Step 3: Cross multiply
    8,300.52x = 11,455.74 × 4,764.24
  4. Step 4: Simplify right side
    8,300.52x = 54,577,894.74
  5. Step 5: Solve for x
    x = 54,577,894.74/8,300.52
  6. Step 6: Final answer
    x = 6,575.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.