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Finding the Fourth Proportional to 7,781.76, 11,678.40 and 6,261.12

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Solution

The fourth proportional to 7,781.76, 11,678.40 and 6,261.12 is: 9,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.76 : 11,678.40 = 6,261.12 : x
  2. Step 2: Convert to fraction form
    7,781.76/11,678.40 = 6,261.12/x
  3. Step 3: Cross multiply
    7,781.76x = 11,678.40 × 6,261.12
  4. Step 4: Simplify right side
    7,781.76x = 73,119,863.81
  5. Step 5: Solve for x
    x = 73,119,863.81/7,781.76
  6. Step 6: Final answer
    x = 9,396.31

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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.