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Finding the Fourth Proportional to 8,284.52, 11,432.63 and 4,749.78

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Solution

The fourth proportional to 8,284.52, 11,432.63 and 4,749.78 is: 6,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.52 : 11,432.63 = 4,749.78 : x
  2. Step 2: Convert to fraction form
    8,284.52/11,432.63 = 4,749.78/x
  3. Step 3: Cross multiply
    8,284.52x = 11,432.63 × 4,749.78
  4. Step 4: Simplify right side
    8,284.52x = 54,302,477.32
  5. Step 5: Solve for x
    x = 54,302,477.32/8,284.52
  6. Step 6: Final answer
    x = 6,554.69

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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.