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Finding the Fourth Proportional to 8,182.48, 11,292.12 and 4,645.60

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Solution

The fourth proportional to 8,182.48, 11,292.12 and 4,645.60 is: 6,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.48 : 11,292.12 = 4,645.60 : x
  2. Step 2: Convert to fraction form
    8,182.48/11,292.12 = 4,645.60/x
  3. Step 3: Cross multiply
    8,182.48x = 11,292.12 × 4,645.60
  4. Step 4: Simplify right side
    8,182.48x = 52,458,672.67
  5. Step 5: Solve for x
    x = 52,458,672.67/8,182.48
  6. Step 6: Final answer
    x = 6,411.10

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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.