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Finding the Fourth Proportional to 8,460.98, 11,680.20 and 5,633.06

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Solution

The fourth proportional to 8,460.98, 11,680.20 and 5,633.06 is: 7,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.98 : 11,680.20 = 5,633.06 : x
  2. Step 2: Convert to fraction form
    8,460.98/11,680.20 = 5,633.06/x
  3. Step 3: Cross multiply
    8,460.98x = 11,680.20 × 5,633.06
  4. Step 4: Simplify right side
    8,460.98x = 65,795,267.41
  5. Step 5: Solve for x
    x = 65,795,267.41/8,460.98
  6. Step 6: Final answer
    x = 7,776.32

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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.