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Finding the Fourth Proportional to 6,713.10, 10,069.65 and 5,643.90

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Solution

The fourth proportional to 6,713.10, 10,069.65 and 5,643.90 is: 8,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.10 : 10,069.65 = 5,643.90 : x
  2. Step 2: Convert to fraction form
    6,713.10/10,069.65 = 5,643.90/x
  3. Step 3: Cross multiply
    6,713.10x = 10,069.65 × 5,643.90
  4. Step 4: Simplify right side
    6,713.10x = 56,832,097.64
  5. Step 5: Solve for x
    x = 56,832,097.64/6,713.10
  6. Step 6: Final answer
    x = 8,465.85

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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.