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Finding the Fourth Proportional to 8,182.98, 11,292.66 and 4,646.43

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Solution

The fourth proportional to 8,182.98, 11,292.66 and 4,646.43 is: 6,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.98 : 11,292.66 = 4,646.43 : x
  2. Step 2: Convert to fraction form
    8,182.98/11,292.66 = 4,646.43/x
  3. Step 3: Cross multiply
    8,182.98x = 11,292.66 × 4,646.43
  4. Step 4: Simplify right side
    8,182.98x = 52,470,554.20
  5. Step 5: Solve for x
    x = 52,470,554.20/8,182.98
  6. Step 6: Final answer
    x = 6,412.16

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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.