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Finding the Fourth Proportional to 6,577.98, 9,863.58 and 2,416.92

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Solution

The fourth proportional to 6,577.98, 9,863.58 and 2,416.92 is: 3,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.98 : 9,863.58 = 2,416.92 : x
  2. Step 2: Convert to fraction form
    6,577.98/9,863.58 = 2,416.92/x
  3. Step 3: Cross multiply
    6,577.98x = 9,863.58 × 2,416.92
  4. Step 4: Simplify right side
    6,577.98x = 23,839,483.77
  5. Step 5: Solve for x
    x = 23,839,483.77/6,577.98
  6. Step 6: Final answer
    x = 3,624.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.