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Finding the Fourth Proportional to 5,867.68, 8,779.45 and 4,116.11

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Solution

The fourth proportional to 5,867.68, 8,779.45 and 4,116.11 is: 6,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.68 : 8,779.45 = 4,116.11 : x
  2. Step 2: Convert to fraction form
    5,867.68/8,779.45 = 4,116.11/x
  3. Step 3: Cross multiply
    5,867.68x = 8,779.45 × 4,116.11
  4. Step 4: Simplify right side
    5,867.68x = 36,137,181.94
  5. Step 5: Solve for x
    x = 36,137,181.94/5,867.68
  6. Step 6: Final answer
    x = 6,158.68

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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.