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Finding the Fourth Proportional to 8,432.31, 11,636.52 and 4,655.48

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Solution

The fourth proportional to 8,432.31, 11,636.52 and 4,655.48 is: 6,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.31 : 11,636.52 = 4,655.48 : x
  2. Step 2: Convert to fraction form
    8,432.31/11,636.52 = 4,655.48/x
  3. Step 3: Cross multiply
    8,432.31x = 11,636.52 × 4,655.48
  4. Step 4: Simplify right side
    8,432.31x = 54,173,527.95
  5. Step 5: Solve for x
    x = 54,173,527.95/8,432.31
  6. Step 6: Final answer
    x = 6,424.52

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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.