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Finding the Fourth Proportional to 6,861.60, 10,312.58 and 5,699.11

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Solution

The fourth proportional to 6,861.60, 10,312.58 and 5,699.11 is: 8,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.60 : 10,312.58 = 5,699.11 : x
  2. Step 2: Convert to fraction form
    6,861.60/10,312.58 = 5,699.11/x
  3. Step 3: Cross multiply
    6,861.60x = 10,312.58 × 5,699.11
  4. Step 4: Simplify right side
    6,861.60x = 58,772,527.80
  5. Step 5: Solve for x
    x = 58,772,527.80/6,861.60
  6. Step 6: Final answer
    x = 8,565.43

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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.