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Finding the Fourth Proportional to 7,705.99, 11,549.58 and 4,187.62

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Solution

The fourth proportional to 7,705.99, 11,549.58 and 4,187.62 is: 6,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.99 : 11,549.58 = 4,187.62 : x
  2. Step 2: Convert to fraction form
    7,705.99/11,549.58 = 4,187.62/x
  3. Step 3: Cross multiply
    7,705.99x = 11,549.58 × 4,187.62
  4. Step 4: Simplify right side
    7,705.99x = 48,365,252.20
  5. Step 5: Solve for x
    x = 48,365,252.20/7,705.99
  6. Step 6: Final answer
    x = 6,276.32

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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.