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Finding the Fourth Proportional to 7,707.48, 11,539.68 and 5,066.88

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Solution

The fourth proportional to 7,707.48, 11,539.68 and 5,066.88 is: 7,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.48 : 11,539.68 = 5,066.88 : x
  2. Step 2: Convert to fraction form
    7,707.48/11,539.68 = 5,066.88/x
  3. Step 3: Cross multiply
    7,707.48x = 11,539.68 × 5,066.88
  4. Step 4: Simplify right side
    7,707.48x = 58,470,173.80
  5. Step 5: Solve for x
    x = 58,470,173.80/7,707.48
  6. Step 6: Final answer
    x = 7,586.16

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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.